Gauge theories of the strong and electroweak interaction:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English German |
| Published: |
Stuttgart [u.a.]
Teubner
2001
|
| Edition: | 3., neubearb. Aufl. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | 2. Aufl. u.d.T.: Becher, Peter: Eichtheorien der starken und elektroschwachen Wechselwirkung. - Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XI, 784 S. |
| ISBN: | 9783519230458 |
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MARC
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| 100 | 1 | |a Böhm, Manfred |d 1940-2013 |e Verfasser |0 (DE-588)122994159 |4 aut | |
| 245 | 1 | 0 | |a Gauge theories of the strong and electroweak interaction |c by Manfred Böhm ; Ansgar Denner ; Hans Joos |
| 250 | |a 3., neubearb. Aufl. | ||
| 264 | 1 | |a Stuttgart [u.a.] |b Teubner |c 2001 | |
| 300 | |a XI, 784 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a 2. Aufl. u.d.T.: Becher, Peter: Eichtheorien der starken und elektroschwachen Wechselwirkung. - Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Gauge fields (Physics) | |
| 650 | 4 | |a Nuclear reactions | |
| 650 | 4 | |a Quantum chromodynamics | |
| 650 | 4 | |a Strong interactions (Nuclear physics) | |
| 650 | 0 | 7 | |a Eichtheorie |0 (DE-588)4122125-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
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| 700 | 1 | |a Denner, Ansgar |d 1960- |e Verfasser |0 (DE-588)122751434 |4 aut | |
| 700 | 1 | |a Joos, Hans |d 1926-2010 |e Verfasser |0 (DE-588)12275140X |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-009337456 | ||
Record in the Search Index
| _version_ | 1804128477199204352 |
|---|---|
| adam_text | Contents
1 Phenomenological
basis of gauge theories of strong, elec¬
tromagnetic, and weak interactions
1
1.1
Elementary particles and their interactions
........... 1
1.1.1
Leptons and quarks as fundamental constituents of matter
. . 2
1.1.2
Fundamental interactions
..................... 4
1.2
Elements of relativistic quantum field theory
.......... 5
1.2.1
Basic concepts of relativistic quantum field theory
....... 6
1.2.2
Lie algebras and Lie groups
................... 18
1.2.3
Conserved currents and charges
................. 24
1.3
The quark model of hadrons
................... 29
1.3.1
Quantum numbers and wave functions of hadrons in the quark
model
................................ 29
1.3.2
Quark model with colour
..................... 35
1.3.3
The concept of quark dynamics
—
quarkonia
.......... 36
1.4
Basics of the electroweak interaction
.............. 39
1.4.1
Electroweak interaction of leptons
................ 41
1.4.2
Electroweak interaction of hadrons
............... 47
1.5
The quark-parton model
..................... 57
1.5.1
Scaling in deep-inelastic lepton-nucleon scattering
....... 57
1.5.2
The
parton
model
......................... 63
1.5.3
Applications of the simple
parton
model
............ 68
1.5.4
Universality of the
parton
model
................. 72
1.6
Higher-order field-theoretical effects in QED
.......... 76
1.6.1
QED as a quantum field theory
................. 76
VT Contents
1.6.2
A test of QED: the magnetic moment of the muon
....... 78
1.7
Towards gauge theories of strong and electroweak interactions
81
References to Chapter
1 ..................... 82
2
Quantum theory of Yang—Mills fields
85
2.1
Green functions and 5-matrix elements
............. 86
2.1.1
The principles of quantum field theory
............. 86
2.1.2
Green functions
.......................... 88
2.1.3
5-matrix elements and the LSZ formula
............. 95
2.1.4
Connected Green functions and vertex functions
........ 97
2.1.5
Scattering of composite particles
.................101
2.2
Path-integral representation of quantum field theory
.....104
2.2.1
Functional calculus
........................104
2.2.2
Generating functionals of Green functions
...........
Ill
2.2.3
Functional-integral representation of the
S
matrix
.......115
2.2.4
The field-theoretical path integral
................116
2.2.5
Feynman rules and path integral
.................122
2.2.6
Ward identities and equations of motion for Green functions
. 127
2.3
Local gauge
invariance
......................133
2.3.1
Local gauge
invariance
in QED
.................134
2.3.2
Geometry of non-abelian gauge symmetry
...........136
2.3.3
Yang-Mills field theories
.....................143
2.4
Path-integral formulation of gauge theories
...........148
2.4.1
Path-integral quantization of gauge theories
..........149
2.4.2
Feynman rules for gauge theories
................157
2.4.3
BRS
invariance
and Slavnov-Taylor identities
.........161
2.4.4
The background-field method
..................178
2.5
Renormalization of quantum field theories
...........188
2.5.1
Divergences and renormalization
.................188
2.5.2
Calculation of one-loop corrections
............... 207
2.5.3
One-loop renormalization of gauge theories
........... 219
Contents
VII
2.5.4 Sketch
of the proof of renormalizability of gauge theories
. . . 231
2.6
Renormalization group
......................252
2.6.1
Renormalization-group equation
.................252
2.6.2
Renormalization-group function and anomalous dimensions of
massless gauge theories
......................260
2.6.3
Relation between different renormalization schemes
......265
2.6.4
Running unrenormalized coupling constant
...........267
2.7
Anomalies
.............................268
2.7.1
The triangle-graph anomaly
...................269
2.7.2
Anomalies in gauge theories
...................279
2.8
Infrared and
collinear
singularities
................285
2.8.1
The origin of mass singularities
.................286
2.8.2
Infrared singularities
.......................294
2.8.3
Collinear
singularities in QED
..................305
2.9
Non-perturbative aspects of gauge theories
...........328
2.9.1
Topologica!
quantum numbers
..................329
2.9.2
The index theorem
........................339
2.9.3
Path integral and topology
....................347
2.10
Lattice approximation of gauge theories
.............379
2.10.1
Basics of lattice approximation
..................379
2.10.2
Strong-coupling approximation
..................385
2.10.3
Numerical methods
........................390
2.10.4
Transition to the continuum
...................397
2.10.5
Finite-size effects
.........................404
2.10.6
Lattice approximation of fermionic interactions
........406
References to Chapter
2..................... 415
VIII Contents
3 Quantum Chromodynamics 426
3.1
Asymptotic freedom of QCD
...................427
3.1.1
The running coupling constant of QCD
.............427
3.1.2
Importance of higher-order corrections
.............430
3.1.3
The running quark masses of QCD
...............432
3.2
QCD in deep-inelastic scattering
.................435
3.2.1
The field-theoretical approach to the
parton
model
......436
3.2.2
QCD corrections to the
parton
model
..............447
3.2.3
Evolution equations
........................458
3.2.4
Experimental tests of QCD
....................464
3.3
Perturbative Quantum Chromodynamics
............469
3.3.1
One-loop corrections to the
parton
model
............470
3.3.2
Factorization
...........................476
3.3.3
Factorization and the operator-product expansion
.......479
3.3.4
Lepton-pair production in hadron-hadron scattering
.....484
3.3.5
Jet cross sections
.........................488
3.3.6
Total hadronic cross section
...................494
3.4
Heavy-quark effective theory (HQET)
..............497
3.4.1
The Lagrangian of HQET
....................498
3.4.2
Symmetries of HQET
.......................502
3.4.3
Applications of HQET
......................504
3.5
Light quarks and chiral perturbation theory
..........507
3.5.1
Chiral symmetry of massless QCD
................507
3.5.2
Pion-pole dominance and effective low-energy theory
.....510
3.5.3
The non-linear
σ
model
......................512
3.5.4
Breaking of chiral
invariance
...................513
3.5.5
Applications of chiral perturbation theory
...........516
3.6
Results of lattice approximation of QCD
............518
3.6.1
The hadron spectrum
.......................519
3.6.2
Glue balls
..............................524
Contents
IX
3.6.3
The connection between long- and short-distance physics: non-
perturbative renormalization group
...............526
3.7
Quark confinement
........................529
3.7.1
The Wilson criterion
.......................529
3.7.2
Quark confinement in strong-coupling approximation
.....534
3.7.3
The string picture
.........................536
3.7.4
Long-range correlations of the QCD vacuum
..........548
3.8
A test of QCD: the running of aa
................554
References to Chapter
3 .....................557
4
Gauge theories of the electroweak interaction
566
4.1
Spontaneous symmetry breaking
.................567
4.1.1
Spontaneous breaking of a global symmetry
..........568
4.1.2
Spontaneous breaking of a gauge symmetry
..........580
4.2
The Standard Model of the Electroweak Interaction
......591
4.2.1
The Lagrangian of the Electroweak Standard Model
......592
4.2.2
The Lagrangian in the physical basis
..............596
4.3
Simple applications of the Electroweak Standard Model
.... 604
4.3.1
W-pair production in e+e~ annihilation
.............604
4.3.2
Production and decay of the Higgs boson
............613
4.4
Quantization of the Electroweak Standard Model
.......622
4.4.1
Gauge fixing and Faddeev-Popov fields
.............622
4.4.2
BUS symmetry and physical fields
................625
4.4.3
Slavnov-Taylor identities
.....................628
4.4.4
Lee identities
...........................630
4.4.5
The background-field method for the Electroweak Standard
Model
...............................638
4.4.6
Charge universality in the Electroweak Standard Model
.... 642
4.4.7
The Goldstone-boson equivalence theorem
...........646
4.5
Renormalization of the Electroweak Standard Model
.....651
4.5.1
The renormalization transformation in the on-shell scheme
. . 652
X
Contents
4.5.2 Renormalization
conditions
.................... 655
4.5.3
Explicit
form of renormalization constants
........... 661
4.5.4
Renormalization within the background-field method
..... 666
4.5.5
Mass renormalization for unstable particles
........... 668
4.6
Electroweak radiative corrections
................ 671
4.6.1
Permionic contributions to the gauge-boson self-energies
. . . 672
4.6.2
Parameter relations in higher orders
............... 675
4.6.3
Decay widths of the weak gauge bosons
............. 684
4.6.4
Z-boson physics
.......................... 689
4.6.5
Precision tests of the electroweak interaction
.......... 704
4.6.6
Status of the Electroweak Standard Model and perspectives
. 706
References to Chapter
4 ..................... 709
5
Extensions of the Standard Model
716
5.1
Grand unified theories (GUTs)
.................. 717
5.1.1
Unification of coupling constants
................ 718
5.1.2
Proton decay
............................ 721
5.1.3
Hierarchy (fine-tuning) problem
................. 723
5.1.4
SU(5) GUT
............................ 723
5.2
Supersymmetry
.......................... 732
5.2.1
Supersymmetry algebra
...................... 732
5.2.2
The
chira!
multiplet
and the Wess-Zumino model
....... 733
5.2.3
Improved ultraviolet properties of supersymmetric theories
. . 734
5.2.4
The Minimal Supersymmetric Standard Model (MSSM)
... 736
5.2.5
Supersymmetric grand unification
................ 738
References to Chapter
5.................... . 740
Contents
XI
A
Appendix 742
A.l Conventions............................742
A.l.l
Minkowskì
space
..........................742
A.I.
2
Euclidean space
..........................750
A.1.3 Field theory
............................751
A.2 Feynman rules for the Electroweak Standard Model
......758
General references
765
Index
766
|
| any_adam_object | 1 |
| author | Böhm, Manfred 1940-2013 Denner, Ansgar 1960- Joos, Hans 1926-2010 |
| author_GND | (DE-588)122994159 (DE-588)122751434 (DE-588)12275140X |
| author_facet | Böhm, Manfred 1940-2013 Denner, Ansgar 1960- Joos, Hans 1926-2010 |
| author_role | aut aut aut |
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| dewey-full | 530.14/35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/35 |
| dewey-search | 530.14/35 |
| dewey-sort | 3530.14 235 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 3., neubearb. Aufl. |
| format | Book |
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| id | DE-604.BV013663959 |
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| indexdate | 2024-07-09T18:49:52Z |
| institution | BVB |
| isbn | 9783519230458 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009337456 |
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| physical | XI, 784 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Teubner |
| record_format | marc |
| spelling | Böhm, Manfred 1940-2013 Verfasser (DE-588)122994159 aut Gauge theories of the strong and electroweak interaction by Manfred Böhm ; Ansgar Denner ; Hans Joos 3., neubearb. Aufl. Stuttgart [u.a.] Teubner 2001 XI, 784 S. txt rdacontent n rdamedia nc rdacarrier 2. Aufl. u.d.T.: Becher, Peter: Eichtheorien der starken und elektroschwachen Wechselwirkung. - Hier auch später erschienene, unveränderte Nachdrucke Gauge fields (Physics) Nuclear reactions Quantum chromodynamics Strong interactions (Nuclear physics) Eichtheorie (DE-588)4122125-4 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Eichtheorie (DE-588)4122125-4 s DE-604 Denner, Ansgar 1960- Verfasser (DE-588)122751434 aut Joos, Hans 1926-2010 Verfasser (DE-588)12275140X aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009337456&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Böhm, Manfred 1940-2013 Denner, Ansgar 1960- Joos, Hans 1926-2010 Gauge theories of the strong and electroweak interaction Gauge fields (Physics) Nuclear reactions Quantum chromodynamics Strong interactions (Nuclear physics) Eichtheorie (DE-588)4122125-4 gnd |
| subject_GND | (DE-588)4122125-4 (DE-588)4123623-3 |
| title | Gauge theories of the strong and electroweak interaction |
| title_auth | Gauge theories of the strong and electroweak interaction |
| title_exact_search | Gauge theories of the strong and electroweak interaction |
| title_full | Gauge theories of the strong and electroweak interaction by Manfred Böhm ; Ansgar Denner ; Hans Joos |
| title_fullStr | Gauge theories of the strong and electroweak interaction by Manfred Böhm ; Ansgar Denner ; Hans Joos |
| title_full_unstemmed | Gauge theories of the strong and electroweak interaction by Manfred Böhm ; Ansgar Denner ; Hans Joos |
| title_short | Gauge theories of the strong and electroweak interaction |
| title_sort | gauge theories of the strong and electroweak interaction |
| topic | Gauge fields (Physics) Nuclear reactions Quantum chromodynamics Strong interactions (Nuclear physics) Eichtheorie (DE-588)4122125-4 gnd |
| topic_facet | Gauge fields (Physics) Nuclear reactions Quantum chromodynamics Strong interactions (Nuclear physics) Eichtheorie Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009337456&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bohmmanfred gaugetheoriesofthestrongandelectroweakinteraction AT denneransgar gaugetheoriesofthestrongandelectroweakinteraction AT jooshans gaugetheoriesofthestrongandelectroweakinteraction |