Quantum field theory: a modern perspective
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Springer
2005
|
| Series: | Graduate texts in contemporary physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 557 S. graph. Darst. |
| ISBN: | 0387213864 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV019771872 | ||
| 003 | DE-604 | ||
| 005 | 20100407 | ||
| 007 | t | ||
| 008 | 050414s2005 d||| |||| 00||| eng d | ||
| 015 | |a 04,N29,0705 |2 dnb | ||
| 016 | 7 | |a 97159466X |2 DE-101 | |
| 020 | |a 0387213864 |c Gb. : EUR 74.85 (freier Pr.) |9 0-387-21386-4 | ||
| 024 | 3 | |a 9780387213866 | |
| 028 | 5 | 2 | |a 10955741 |
| 035 | |a (OCoLC)60651954 | ||
| 035 | |a (DE-599)BVBBV019771872 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-19 |a DE-706 |a DE-29T |a DE-11 |a DE-355 | ||
| 050 | 0 | |a QC174.45 | |
| 082 | 0 | |a 530.14/3 |2 22 | |
| 084 | |a UO 4000 |0 (DE-625)146237: |2 rvk | ||
| 084 | |a 530 |2 sdnb | ||
| 100 | 1 | |a Nair, V. P. |e Verfasser |0 (DE-588)130082708 |4 aut | |
| 245 | 1 | 0 | |a Quantum field theory |b a modern perspective |c V. Parameswaran Nair |
| 264 | 1 | |a New York, NY |b Springer |c 2005 | |
| 300 | |a XIV, 557 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Graduate texts in contemporary physics | |
| 650 | 4 | |a Champs, Théorie quantique des | |
| 650 | 4 | |a Quantum field theory | |
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013097999&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-013097999 | ||
Record in the Search Index
| _version_ | 1804133252337762304 |
|---|---|
| adam_text | Contents
1
Results
in Relativistic Quantum
Mechanics
............... 1
1.1 Conventions........................................... 1
1.2
Spin-zero particle
....................................... 1
1.3 Dirac
equation
.........................................
З
2
The Construction of Fields
............................... 7
2.1
The correspondence of particles and fields
................. 7
2.2
Spin-zero bosons
....................................... 8
2.3
Lagrangian and Hamiltonian
............................. 11
2.4
Functional derivatives
................................... 13
2.5
The field operator for
fermions
........................... 14
3
Canonical Quantization
................................... 17
3.1
Lagrangian, phase space, and
Poisson
brackets
............. 17
3.2
Rules of quantization
................................... 23
3.3
Quantization of a free scalar field
......................... 25
3.4
Quantization of the Dirac field
........................... 28
3.5
Symmetries and conservation laws
........................ 32
3.6
The energy-momentum tensor
............................ 34
3.7
The electromagnetic field
................................ 36
3.8
Energy-momentum and general relativity
.................. 37
3.9
Light-cone quantization of a scalar field
................... 38
3.10
Conformai invariance
of Maxwell equations
................ 39
4
Commutators and Propagators
........................... 43
4.1
Scalar field propagators
................................. 43
4.2
Propagator for
fermions
................................. 50
4.3
Grassman
variables and
fermions
......................... 51
5
Interactions and the S-matrix
............................ 55
5.1
A general formula for the S-matrix
....................... 55
5.2
Wick s theorem
........................................ 61
5.3
Perturbative expansion of the S-matrix
................... 62
5.4
Decay rates and cross sections
............................ 67
5.5
Generalization to other fields
............................. 69
X
Contents
5.6 Operator
formula
for the iV-point functions
................ 72
6
The Electromagnetic Field
................................ 77
6.1
Quantization and photons
............................... 77
6.2
Interaction with charged particles
........................ 81
6.3
Quantum electrodynamics (QED)
........................ 83
7
Examples of Scattering Processes
......................... 85
7.1
Photon-scalar charged particle scattering
.................. 85
7.2
Electron scattering in an external Coulomb field
............ 87
7.3
Slow neutron scattering from a medium
................... 89
7.4
Compton scattering
..................................... 92
7.5
Decay of the
тг°
meson
.................................. 95
7.6
Čerenkov
radiation
..................................... 97
7.7
Decay of the p-meson
................................... 99
8
Functional Integral Representations
......................103
8.1
Functional integration for bosonic fields
...................103
8.2
Green s functions as functional integrals
...................105
8.3
Fermionic functional integral
.............................108
8.4
The S-matrix functional
.................................
Ill
8.5
Euclidean integral and QED
.............................112
8.6
Nonlinear
sigma
models
.................................114
8.7
The connected Green s functions
.........................119
8.8
The quantum effective action
............................122
8.9
The S-matrix in terms of
Γ
..............................126
8.10
The loop expansion
.....................................127
9
Renormalization
..........................................133
9.1
The general procedure of renormalization
..................133
9.2
One-loop renormalization
................................135
9.3
The renormalized effective potential
......................144
9.4
Power-counting rules
....................................145
9.5
One-loop renormalization of QED
........................147
9.6
Renormalization to higher orders
.........................157
9.7
Counterterms and renormalizability
.......................162
9.8
RG equation for the scalar field
..........................169
9.9
Solution to the RG equation and critical behavior
..........173
10
Gauge Theories
...........................................179
10.1
The gauge principle
.....................................179
10.2
Parallel transport
......................................183
10.3
Charges and gauge transformations
.......................185
10.4
Functional quantization of gauge theories
..................188
10.5
Examples
..............................................194
Contents
XI
10.6
BRST
symmetry and physical states
......................195
10.7
Ward-Takahashi identities for Q-symmetry
................200
10.8
Renormalization of nonabelian theories
....................203
10.9
The fermionic action and QED again
.....................206
10.10
The propagator and the effective charge
..................206
11
Symmetry
................................................219
11.1
Realizations of symmetry
................................ 219
11.2
Ward-Takahashi identities
............................... 221
11.3
Ward-Takahashi identities for electrodynamics
............. 223
11.4
Discrete symmetries
.................................... 226
11.5
Low-energy theorem for Compton scattering
............... 232
12
Spontaneous symmetry breaking
..........................237
12.1
Continuous global symmetry
.............................237
12.2
Orthogonality of different ground states
...................242
12.3
Goidstone s theorem
....................................244
12.4
Coset manifolds
........................................247
12.5
Nonlinear
sigma
models
.................................249
12.6
The dynamics of
Goldstone
bosons
.......................249
12.7
Summary of results
.....................................253
12.8
Spin waves
............................................254
12.9
Chiral symmetry breaking in QCD
.......................255
12.10
The effective action
....................................258
12.11
Effective Lagrangians, unitarity of the S-matrix
...........263
12.12
Gauge symmetry and the Higgs mechanism
...............266
12.13
The standard model
....................................270
13
Anomalies I
..............................................281
13.1
Introduction
...........................................281
13.2
Computation of anomalies
...............................282
13.3
Anomaly structure: why it cannot be removed
..............289
13.4
Anomalies in the standard model
.........................290
13.5
The Lagrangian for
π°
decay
.............................294
13.6
The axial
(7(1)
problem
.................................295
14
Elements of differential geometry
.........................299
14.1
Manifolds, vector fields, and forms
........................299
14.2
Geometrical structures on manifolds and gravity
............310
14.2.1
Riemannian structures and gravity
.................310
14.2.2
Complex manifolds
...............................313
14.3
Cohomology groups
.....................................315
14.4
Homotopy
.............................................319
14.5
Gauge fields
...........................................324
14.5.1
Electrodynamics
.................................324
XII Contents
14.5.2
The Dirac
monopole:
A first look
...................326
14.5.3
Nonabelian gauge fields
...........................327
14.6
Fiber bundles
..........................................329
14.7
Applications of the idea of fiber bundles
...................333
14.7.1
Scalar fields around a magnetic
monopole
...........333
14.7.2
Gribov ambiguity
................................334
14.8
Characteristic classes
...................................336
15
Path Integrals
............................................341
15.1
The evolution kernel as a path integral
....................341
15.2
The
Schrödinger
equation
...............................344
15.3
Generalization to fields
..................................345
15.4
Interpretation of the path integral
........................350
15.5 Nontrivial
fundamental group for
С
.......................351
15.6
The case of
П2(С)
φ
Q
..................................353
16
Gauge theory: configuration space
........................359
16.1
The configuration space
.................................359
16.2
The path integral in QCD
...............................364
16.3
Instantons
.............................................366
16.4
Fermions
and index theorem
.............................369
16.5 Baryon
number violation in the standard model
............373
17
Anomalies II
.............................................377
17.1
Anomalies and the functional integral
.....................377
17.2
Anomalies and the index theorem
........................379
17.3
The mixed anomaly in the standard model
................383
17.4
Effective action for flavor anomalies of QCD
...............384
17.5
The global or nonperturbative anomaly
...................386
17.6
The Wess-Zumino-
Witten (WZW)
action
..................390
17.7
The Dirac determinant in two dimensions
.................392
18
Finite temperature and density
...........................399
18.1
Density matrix and ensemble averages
....................399
18.2
Scalar field theory
......................................402
18.3
Fermions
at finite temperature and density
................404
18.4
A condition on thermal averages
..........................405
18.5
Radiation from a heated source
..........................406
18.6
Screening of gauge fields: Abelian case
....................409
18.7
Screening of gauge fields: Nonabelian case
.................415
18.8
Retarded and time-ordered functions
......................419
18.9
Physical significance of
Im
Яд ..........................
422
18.10
Nonequilibrium phenomena
.............................424
18.11
The imaginary time formalism
...........................430
18.12
Symmetry restoration at high temperatures
...............435
Contents XIII
18.13
Symmetry restoration in the standard model
..............439
19
Gauge theory: Nonperturbative questions
................445
19.1
Confinement and dual superconductivity
..................445
19.1.1
The general picture of confinement
.................445
19.1.2
The area law for the Wilson loop
...................447
19.1.3
Topological vortices
...............................449
19.1.4
The nonabelian dual superconductivity
..............454
19.2
t Hooft-Polyakov magnetic
monopoles
....................457
19.3
The l/iV-expansion
.....................................462
19.4
Mesons and baryons in the /N expansion
.................465
19.4.1
Chiral symmetry breaking and mesons
..............466
19.4.2
Baryons
.........................................468
19.4.3 Baryon
number of the skyrmion
....................470
19.4.4
Spin and flavor for skyrmions
......................472
19.5
Lattice gauge theory
....................................475
19.5.1
The reason for a lattice formulation
.................475
19.5.2
Plaquettes
and the Wilson action
...................476
19.5.3
The fermion doubling problem
.....................479
20
Elements of Geometric Quantization
......................485
20.1
General structures
......................................485
20.2
Classical dynamics
......................................491
20.3
Geometric quantization
.................................492
20.4
Topological features of quantization
.......................496
20.5
A brief summary of quantization
.........................499
20.6
Examples
..............................................500
20.6.1
Coherent states
..................................500
20.6.2
Quantizing the two-sphere
.........................501
20.6.3
Compact
Kahler
spaces of the G/
Я
-type
............
506
20.6.4
Charged particle in
a monopole
field
................508
20.6.5
Anyons or particles of fractional spin
................510
20.6.6
Field quantization, equal-time, and light-cone
........513
20.6.7
The Chern-Simons theory in
2+1
dimensions
........515
20.6.8
Θ-
vacua in a nonabelian gauge theory
...............522
20.6.9
Current algebra for the Wess-Zumino-
Witten (WZW)
model
...........................................525
AppendixtRelativistic
Invariance
..........................533
A-I Poincaré
algebra
.......................................533
A-2 Unitary representations of the
Poincaré
algebra
............537
A-3 Massive particles
.......................................538
A-4 Wave functions for spin-zero particles
.....................540
A-5 Wave functions for spin-! particles
.......................542
A-6 Spin-l particles
........................................543
XIV Contents
A-7 Massless
particles.......................................
544
A-8
Position operators
......................................545
A-9
Isometries, anyons......................................545
Generad
References
...........................................549
Index
.........................................................551
|
| any_adam_object | 1 |
| author | Nair, V. P. |
| author_GND | (DE-588)130082708 |
| author_facet | Nair, V. P. |
| author_role | aut |
| author_sort | Nair, V. P. |
| author_variant | v p n vp vpn |
| building | Verbundindex |
| bvnumber | BV019771872 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.45 |
| callnumber-search | QC174.45 |
| callnumber-sort | QC 3174.45 |
| callnumber-subject | QC - Physics |
| classification_rvk | UO 4000 |
| ctrlnum | (OCoLC)60651954 (DE-599)BVBBV019771872 |
| dewey-full | 530.14/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/3 |
| dewey-search | 530.14/3 |
| dewey-sort | 3530.14 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01593nam a2200433 c 4500</leader><controlfield tag="001">BV019771872</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20100407 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">050414s2005 d||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">04,N29,0705</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">97159466X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387213864</subfield><subfield code="c">Gb. : EUR 74.85 (freier Pr.)</subfield><subfield code="9">0-387-21386-4</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9780387213866</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">10955741</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)60651954</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019771872</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC174.45</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.14/3</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UO 4000</subfield><subfield code="0">(DE-625)146237:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">530</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Nair, V. P.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)130082708</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Quantum field theory</subfield><subfield code="b">a modern perspective</subfield><subfield code="c">V. Parameswaran Nair</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 557 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Graduate texts in contemporary physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Champs, Théorie quantique des</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum field theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantenfeldtheorie</subfield><subfield code="0">(DE-588)4047984-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quantenfeldtheorie</subfield><subfield code="0">(DE-588)4047984-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013097999&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-013097999</subfield></datafield></record></collection> |
| id | DE-604.BV019771872 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:05:46Z |
| institution | BVB |
| isbn | 0387213864 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013097999 |
| oclc_num | 60651954 |
| open_access_boolean | |
| owner | DE-703 DE-19 DE-BY-UBM DE-706 DE-29T DE-11 DE-355 DE-BY-UBR |
| owner_facet | DE-703 DE-19 DE-BY-UBM DE-706 DE-29T DE-11 DE-355 DE-BY-UBR |
| physical | XIV, 557 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Springer |
| record_format | marc |
| series2 | Graduate texts in contemporary physics |
| spelling | Nair, V. P. Verfasser (DE-588)130082708 aut Quantum field theory a modern perspective V. Parameswaran Nair New York, NY Springer 2005 XIV, 557 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in contemporary physics Champs, Théorie quantique des Quantum field theory Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013097999&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nair, V. P. Quantum field theory a modern perspective Champs, Théorie quantique des Quantum field theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4047984-5 |
| title | Quantum field theory a modern perspective |
| title_auth | Quantum field theory a modern perspective |
| title_exact_search | Quantum field theory a modern perspective |
| title_full | Quantum field theory a modern perspective V. Parameswaran Nair |
| title_fullStr | Quantum field theory a modern perspective V. Parameswaran Nair |
| title_full_unstemmed | Quantum field theory a modern perspective V. Parameswaran Nair |
| title_short | Quantum field theory |
| title_sort | quantum field theory a modern perspective |
| title_sub | a modern perspective |
| topic | Champs, Théorie quantique des Quantum field theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Champs, Théorie quantique des Quantum field theory Quantenfeldtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013097999&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT nairvp quantumfieldtheoryamodernperspective |