Quantum chromodynamics: perturbative and nonperturbative aspects
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2010
|
| Edition: | 1. publ. |
| Series: | Cambridge monographs on particle physics, nuclear physics and cosmology
30 |
| Subjects: | |
| Online Access: | Contributor biographical information Publisher description Table of contents only Inhaltsverzeichnis |
| Physical Description: | IX, 585 S. Ill., graph. Darst. |
| ISBN: | 9780521631488 |
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MARC
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| 100 | 1 | |a Ioffe, Boris L. |d 1926- |e Verfasser |0 (DE-588)123419999 |4 aut | |
| 245 | 1 | 0 | |a Quantum chromodynamics |b perturbative and nonperturbative aspects |c B.L. Ioffe, V.S. Fadin, L.N. Lipatov |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2010 | |
| 300 | |a IX, 585 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 700 | 1 | |a Lipatov, L. N. |d 1940-2017 |e Verfasser |0 (DE-588)140610170 |4 aut | |
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Record in the Search Index
| _version_ | 1804140938098900992 |
|---|---|
| adam_text | Contents
Prefave
pa
це їх
General
properties of QCD
1.1
QCD Lagrangian
1.2
Quantization of the QCD Lagrangian
1.3
The Gribov ambiguity
1.4
Feynman rules
1.5
Regularization
1.6
/5
problem
1.7
Renormalization
1.8
One-loop calculations
1.9
Renormalization group
1.10
Asymptotic freedom in QCD
1.11
The renormalization scheme and scale ambiguity
1.12
Anomalous dimensions of twist-2 operators
1.13
Colour algebra
References
1
1
2
7
10
14
15
18
21
27
35
38
42
45
49
Chiral symmetry and its spontaneous violation
53
2.1
The general properties of QCD at low energies
53
2.2
The masses of the light quarks
54
2.3
Spontaneous violation of chiral symmetry. Quark condensate
59
2.4 Goldstone
theorem
61
2.5
Chiral effective theory
(CET)
at low energies
65
2.6
Low-energy sum rules in
CET
74
2.7
The
nucleón
and pion-nucleon interaction in
CET
76
Problems
77
References
79
Anomalies
3.1
Generalities
3.2
The axial anomalv
82
82
82
vi
Contents
3.3
The axial anomaly and the scattering of polarized electron (muon)
on polarized gluon
93
3.4
The scale anomaly
95
3.5
The infrared power-like singularities in photon-photon, photon-
gluon, and gluon-gluon scattering in massless QED and QCD.
Longitudinal gluons in QCD
100
Problems
104
References
105
4
Instantons
and topological quantum numbers
107
4.1
Tunneling in quantum mechanics
108
4.2
Instantons
and the topological current
115
4.3 Instantons in
Minkowski space-time
127
4.4
Fermions
in the
instanton
field. Atiyah-Singer theorem
130
4.5
The vacuum structure in QCD
133
4.6
The pre-exponential factor of the
instanton
action. The dilute gas
instanton
model
134
4.7
Quark propagator in the
instanton
field
139
4.8
Appendix
141
Problems
142
References
142
5
Divergence of perturbation series
145
5.1
Renormalization group approach to
renommions
147
5.2
High-order estimates in zero-dimensional models
152
5.3
Zero charge and asymptotic freedom in scalar models
155
5.4
Renormalized strongly nonlinear scalar model
159
5.5
Functional approach to the high-order estimates
165
5.6
Series divergence in models with gauge interactions
174
5.7
Asymptotic estimates in the pure Yang-Mills theory
182
5.8
Asymptotic estimates in quantum electrodymamics
186
5.9
Applications of high-order estimates
190
References
193
6
QCD sum rules
195
6.1
Operator product expansion
195
6.2
Condensates
199
6.3
Condensates, induced by external fields
202
6.4
QCD sum rules method
204
6.5
Determination of as(Q2) and the condensates from
low-energy data
207
6.6
Calculations of light meson masses and coupling constants
229
6.7
Sum rules for baryon masses
239
Contents
vii
6.8
Calculation technique
252
6.9
Static properties of hadrons
259
6.10
Three-point functions and formfactors at intermediate
momentum transfers
279
6.11
Valence quark distributions in hadrons
285
Problems
299
References
302
Evolution equations
309
7.1
Introduction
309
7.2
Parton
model in QCD
311
7.3
Evolution equations for
parton
distributions
316
7.4
Splitting kernels in the Born approximation
324
7.5
OPE on light cone and
parton
model
332
7.6
Evolution equations for fragmentation functions
334
7.7
Parton
distributions in QCD in LLA
338
7.8
Hard processes beyond the LLA
345
7.9
Parton-number correlators
353
7.10
Deep inelastic electron scattering off the polarized
proton
359
7.11
Parton
distributions in polarized
nucleón
367
7.12
Evolution equations for quasipartonic operators
372
7.13
(^ -dependence of the twist-3 structure functions
for the polarized target
379
7.14
Infrared evolution equations at small
χ
383
References
397
QCD jets
402
8.1
Total cross section of e+e~-annihilation into
hadrons
402
8.2
Jet production
405
8.3
Two-jet events
406
8.4
Three-jet events
412
8.5
Event shape
414
8.6
Inclusive spectra
415
8.7
Colour coherence
417
8.8
Soft-gluon approximations
423
8.9
Soft-gluon distributions
429
8.10
Hump-backed shape of
parton
spectra
433
8.11
Multiplicity distributions and
KNO
scaling
437
8.12
Moments of fragmentation functions at small
j
- 1 438
8.13
Modified Leading Logarithmic Approximation (MLLA)
441
References
444
viii Contents
9
BFKL
approach
448
9.1
Introduction
448
9.2
Gluon reggeization
450
9.3
Reggeon vertices and trajectory
454
9.4
BFKL equation
469
9.5
BFKL pomeron
476
9.6
Bootstrap of the gluon reggeization
491
9.7
Next-to-leading order BFKL
504
References
527
10
Further developments in high-energy QCD
533
10.1
Effective-action approach
533
10.2
BFKL dynamics and integrability
542
10.3
The odderon in QCD
550
10.4
Baxter-Sklyanin representation
561
10.5
Maximal transcendentality and anomalous dimensions
570
10.6
Discussion of obtained results
575
References
575
Notations
579
index
580
|
| any_adam_object | 1 |
| author | Ioffe, Boris L. 1926- Fadin, Viktor S. 1942- Lipatov, L. N. 1940-2017 |
| author_GND | (DE-588)123419999 (DE-588)140610022 (DE-588)140610170 |
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| discipline | Physik |
| edition | 1. publ. |
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| id | DE-604.BV035947439 |
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| isbn | 9780521631488 |
| language | English |
| lccn | 2009021695 |
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| spelling | Ioffe, Boris L. 1926- Verfasser (DE-588)123419999 aut Quantum chromodynamics perturbative and nonperturbative aspects B.L. Ioffe, V.S. Fadin, L.N. Lipatov 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2010 IX, 585 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on particle physics, nuclear physics and cosmology 30 Quantum chromodynamics Quantenchromodynamik (DE-588)4128082-9 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 s DE-604 Fadin, Viktor S. 1942- Verfasser (DE-588)140610022 aut Lipatov, L. N. 1940-2017 Verfasser (DE-588)140610170 aut Cambridge monographs on particle physics, nuclear physics and cosmology 30 (DE-604)BV005321866 30 http://www.loc.gov/catdir/enhancements/fy0913/2009021695-b.html Contributor biographical information http://www.loc.gov/catdir/enhancements/fy0913/2009021695-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0913/2009021695-t.html Table of contents only Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018804553&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ioffe, Boris L. 1926- Fadin, Viktor S. 1942- Lipatov, L. N. 1940-2017 Quantum chromodynamics perturbative and nonperturbative aspects Cambridge monographs on particle physics, nuclear physics and cosmology Quantum chromodynamics Quantenchromodynamik (DE-588)4128082-9 gnd |
| subject_GND | (DE-588)4128082-9 |
| title | Quantum chromodynamics perturbative and nonperturbative aspects |
| title_auth | Quantum chromodynamics perturbative and nonperturbative aspects |
| title_exact_search | Quantum chromodynamics perturbative and nonperturbative aspects |
| title_full | Quantum chromodynamics perturbative and nonperturbative aspects B.L. Ioffe, V.S. Fadin, L.N. Lipatov |
| title_fullStr | Quantum chromodynamics perturbative and nonperturbative aspects B.L. Ioffe, V.S. Fadin, L.N. Lipatov |
| title_full_unstemmed | Quantum chromodynamics perturbative and nonperturbative aspects B.L. Ioffe, V.S. Fadin, L.N. Lipatov |
| title_short | Quantum chromodynamics |
| title_sort | quantum chromodynamics perturbative and nonperturbative aspects |
| title_sub | perturbative and nonperturbative aspects |
| topic | Quantum chromodynamics Quantenchromodynamik (DE-588)4128082-9 gnd |
| topic_facet | Quantum chromodynamics Quantenchromodynamik |
| url | http://www.loc.gov/catdir/enhancements/fy0913/2009021695-b.html http://www.loc.gov/catdir/enhancements/fy0913/2009021695-d.html http://www.loc.gov/catdir/enhancements/fy0913/2009021695-t.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018804553&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005321866 |
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