Introduction to gauge field theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bristol [u.a.]
Inst. of Physics Publ.
1996
|
| Ausgabe: | Rev. ed., reprint. |
| Schriftenreihe: | Graduate student series in physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 364 S. graph. Darst. |
| ISBN: | 075030281X |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV010970850 | ||
| 003 | DE-604 | ||
| 005 | 19961106 | ||
| 007 | t | ||
| 008 | 960925s1996 d||| |||| 00||| eng d | ||
| 020 | |a 075030281X |9 0-7503-0281-X | ||
| 035 | |a (OCoLC)256724061 | ||
| 035 | |a (DE-599)BVBBV010970850 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-355 |a DE-19 | ||
| 050 | 0 | |a QC793.3.F5 | |
| 082 | 0 | |a 539.7'21 | |
| 084 | |a UO 4060 |0 (DE-625)146244: |2 rvk | ||
| 100 | 1 | |a Bailin, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to gauge field theory |c David Bailin ; Alexander Love |
| 250 | |a Rev. ed., reprint. | ||
| 264 | 1 | |a Bristol [u.a.] |b Inst. of Physics Publ. |c 1996 | |
| 300 | |a XV, 364 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Graduate student series in physics | |
| 650 | 0 | 7 | |a Eichtheorie |0 (DE-588)4122125-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Eichtheorie |0 (DE-588)4122125-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Love, Alexander |e Verfasser |4 aut | |
| 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=007340498&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007340498 | ||
Datensatz im Suchindex
| _version_ | 1804125458780913664 |
|---|---|
| adam_text | CONTENTS
Preface to first edition
vii
Preface to revised edition
ix
1
Path integrals
1
Problem
4
References
4
2
Path integrals in non-relativistic quantum mechanics
S
2.1
Transition amplitudes as path integrals
5
2.2
The ground-state-to-ground-state amplitude, W[J]
8
2.3
Ground-state expectation values from
ИР[Ј]
11
Problems
14
References
14
3
Classical field theory
15
3.1
Euler-Lagrange equations
15
3.2
Noether s theorem
18
3.3
Scalar field theory
20
3.4
Spinor field theory
25
3.5
Massless vector field theory
33
Problems
37
References
38
Quantum field theory of a scalar field
39
4.1
The generating functional
И^[Ј]
39
4.2
The generating functional for free-field theory
42
4.3
Green functions for free-field theory
45
4.4
The effective action and one-particle-irreducible
Green functions
47
Problems
50
References
50
xii CONTENTS
5
Scattering
amplitudes
51
5.1
Scattering amplitude in quantum mechanics
51
5.2
Scattering amplitude in quantum field theory
54
References
59
б
Feynman rules for
λφ*
theory
60
6.1
Perturbation theory
60
6.2
Momentum space Feynman rules
64
6.3
One-particle-irreducible Green functions
66
6.4
Scattering amplitudes
67
6.5
Calculation of the scattering cross section
70
Problems
73
References
73
7
Renormalisation of
λφ*
theory
74
7.1
Physical motivation for
renormalisation
74
7.2
Dimensional
régularisation
79
7.3
Evaluation of Feynman integrals
81
7.4
Renormalisation
of
Αφ*
theory at one-loop order
85
7.5
Renormalisation
schemes
90
Problems
94
References
94
8
Quantum field theory with
fermions
96
8.1
Path integrals over
Grassmann
variables
96
8.2
The generating functional for spinor
fîeld
theories
99
8.3
Propagator for the Dirac
fîeld
100
8.4
Renormalisable theories of Dirac fields and scalar
fields
101
8.5
Feynman rules for Yukawa interactions
103
8.6
Massless
fermions
106
8.7
Scattering amplitudes with
fermions
107
Problems
109
References
109
Gauge field theories
110
9.1
Abelian gauge field theory
110
9.2
Non-Abelian gauge field theories
112
9.3
Field equations for gauge field theories H5
References
115
CONTENTS xiii
10
Feynman rules for quantum chromodynamks and
quantum electrodynamics
116
10.1
Quantum chromodynamics
116
10.2
Problems in quantising gauge field theories
116
10.3
An analogy with ordinary integrals
118
10.4
Quantisation of gauge field theory
119
10.5
Gauge fixing terms and Faddeev-Popov ghosts
123
10.6
Feynman rules for gauge field theories
125
10.7
Scattering amplitudes with gauge fields
129
Problems
129
References
130
11
Renormalisation
of qcd and qed at one-loop order
131
11.1
Counter terms for gauge field theories
131
11.2
Calculation of
renormalisation
constants
133
11.3
The electron anomalous magnetic moment
140
Problems
143
References
143
12
qcd and asymptotic freedom
144
12.1
The
renormalisation
group equation
144
12.2
Deep inelastic electron-nucleon scattering
149
12.3
The Wilson operator product expansion
152
12.4
Wilson coefficients and moments of structure
functions
154
12.5
Renormalisation
group equation for Wilson
coefficients
157
12.6
Calculation of anomalous dimensions
159
127
Comparison with experiment, and AqcD
163
128
e+e~ annihilation
165
Problems
167
References
168
13
Spontaneous symmetry breaking
169
13.1
Introduction
169
13.2
Spontaneous symmetry breaking in a ferromagnet
172
13.3
Spontaneous breaking of a discrete symmetry
173
13.4
Spontaneous breaking of a continuous global
symmetry
175
13.5
The Higgs mechanism
180
13.6
The Higgs mechanism in non-Abelian theories
185
xiv CONTENTS
13.7 Fermion
masses
from spontaneous symmetry breaking
190
13.8
Magnetic
monopoles
193
13.9
The effective potential in one-loop order
200
13.10
Instantons
212
13.11
Axions
217
Problems
227
References
227
14
Feynman rules for electroweak theory
230
14.1
SU(2)
χ
U(l)
invariance
and electroweak interactions
230
14.2
Spontaneous breaking of SU(2)
χ
U(l) local gauge
invariance
235
14.3
Feynman rules for the vertices
240
14.4
Tests of electroweak theory
248
14.5
Inclusion of hadrons
252
Problems
258
References
258
15
Renonnalisation of electroweak theory
260
15.1
Electroweak theory renonnalisation schemes
260
15.2
Definition of the renormalised parameters
262
15.3
Evaluation of the
renormalisation
constants
274
15.4
Radiative corrections to muon decay
285
15.5
Anomalies
288
Problems
296
References
297
16
Grand unified theory
298
16.1
Philosophy
298
16.2
SU(5) grand unified theory
299
16.3
The grand unification scale and 0W
305
16.4
Spontaneous symmetry breaking for SU(5) grand
unified theory
307
16.5
Fermion masses in SU(5)
310
16.6
Proton decay
313
Problems
314
References
314
CONTENTS xv
17
Field theories at finite temperature
315
17.1
The partition function for scalar field theory
315
17.2
Partition function for free scalar field theory
317
17.3
Partition function for gauge vector bosons
320
17.4
Partition function for
fermions
322
17.5
Temperature Green functions and generating
functional
324
17.6
Finite temperature generating functional for a
free scalar field
327
17.7
Feynman rules for temperature Green functions
328
17.8
The finite temperature effective potential
328
17.9
Finite temperature effective potential at one-loop
order
330
17.10
The Higgs model at finite temperature
334
17.11
Electroweak theory at finite temperature
336
17.12
Grand unified theory at finite temperature
338
17.13
First-order phase transitions
339
Problems
343
References
344
Appendix A: Feynman integrals in ^-dimensional space 34S
Appendix B: S-matrix elements are independent of
ξ
346
Appendix C: C.1 Vector-vector-scalar-scalar vertices
351
C.2 Vertices involving four scalars
353
Appendix D:
Ѕ1Д5)
λ
matrices
355
Appendix E: Matsubara frequency sums
358
Index
359
|
| any_adam_object | 1 |
| author | Bailin, David Love, Alexander |
| author_facet | Bailin, David Love, Alexander |
| author_role | aut aut |
| author_sort | Bailin, David |
| author_variant | d b db a l al |
| building | Verbundindex |
| bvnumber | BV010970850 |
| callnumber-first | Q - Science |
| callnumber-label | QC793 |
| callnumber-raw | QC793.3.F5 |
| callnumber-search | QC793.3.F5 |
| callnumber-sort | QC 3793.3 F5 |
| callnumber-subject | QC - Physics |
| classification_rvk | UO 4060 |
| ctrlnum | (OCoLC)256724061 (DE-599)BVBBV010970850 |
| dewey-full | 539.7'21 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.7'21 |
| dewey-search | 539.7'21 |
| dewey-sort | 3539.7 221 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | Rev. ed., reprint. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01430nam a2200385 c 4500</leader><controlfield tag="001">BV010970850</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19961106 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">960925s1996 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">075030281X</subfield><subfield code="9">0-7503-0281-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)256724061</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010970850</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-20</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC793.3.F5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">539.7'21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UO 4060</subfield><subfield code="0">(DE-625)146244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bailin, David</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to gauge field theory</subfield><subfield code="c">David Bailin ; Alexander Love</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Rev. ed., reprint.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Bristol [u.a.]</subfield><subfield code="b">Inst. of Physics Publ.</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 364 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 student series in physics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Eichtheorie</subfield><subfield code="0">(DE-588)4122125-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Eichtheorie</subfield><subfield code="0">(DE-588)4122125-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Love, Alexander</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</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=007340498&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:BVB01-007340498</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV010970850 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:01:53Z |
| institution | BVB |
| isbn | 075030281X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007340498 |
| oclc_num | 256724061 |
| open_access_boolean | |
| owner | DE-20 DE-355 DE-BY-UBR DE-19 DE-BY-UBM |
| owner_facet | DE-20 DE-355 DE-BY-UBR DE-19 DE-BY-UBM |
| physical | XV, 364 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Inst. of Physics Publ. |
| record_format | marc |
| series2 | Graduate student series in physics |
| spelling | Bailin, David Verfasser aut Introduction to gauge field theory David Bailin ; Alexander Love Rev. ed., reprint. Bristol [u.a.] Inst. of Physics Publ. 1996 XV, 364 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate student series in physics Eichtheorie (DE-588)4122125-4 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Eichtheorie (DE-588)4122125-4 s DE-604 Love, Alexander Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007340498&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bailin, David Love, Alexander Introduction to gauge field theory Eichtheorie (DE-588)4122125-4 gnd |
| subject_GND | (DE-588)4122125-4 (DE-588)4151278-9 |
| title | Introduction to gauge field theory |
| title_auth | Introduction to gauge field theory |
| title_exact_search | Introduction to gauge field theory |
| title_full | Introduction to gauge field theory David Bailin ; Alexander Love |
| title_fullStr | Introduction to gauge field theory David Bailin ; Alexander Love |
| title_full_unstemmed | Introduction to gauge field theory David Bailin ; Alexander Love |
| title_short | Introduction to gauge field theory |
| title_sort | introduction to gauge field theory |
| topic | Eichtheorie (DE-588)4122125-4 gnd |
| topic_facet | Eichtheorie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007340498&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bailindavid introductiontogaugefieldtheory AT lovealexander introductiontogaugefieldtheory |