Quantum chromodynamics at high energy:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2012
|
| Edition: | 1. publ. |
| Series: | Cambridge monographs on particle physics, nuclear physics and cosmology
33 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | X, 339 S. graph. Darst |
| ISBN: | 9780521112574 |
Staff View
MARC
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| 100 | 1 | |a Kovchegov, Yuri V. |d 1973- |e Verfasser |0 (DE-588)102781154X |4 aut | |
| 245 | 1 | 0 | |a Quantum chromodynamics at high energy |c Yuri V. Kovchegov; Eugene Levin |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2012 | |
| 300 | |a X, 339 S. |b graph. Darst | ||
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Record in the Search Index
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| adam_text | Contents
Preface
page
ix
1
Introduction: basics of QCD perturbation theory
1
1.1
The QCD Lagrangian
1
1.2
A review of Feynman rules for QCD
3
1.2.1
QCD Feynman rules
6
1.3
Rules of light cone perturbation theory
7
1.3.1
QCD LCPT rules
10
1.3.2
Light cone wave function
12
1.4
Sample LCPT calculations
14
1.4.1
LCPT cross-check
14
1.4.2
A sample light cone wave function
17
1.5
Asymptotic freedom
19
2
Deep inelastic scattering
22
2.1
Kinematics, cross section, and structure functions
22
2.2
Parton
model and
Björken
scaling
27
2.2.1
Warm-up:
DIS on a
single free quark
27
2.2.2
Full calculation:
DIS on a
proton
29
2.3
Space-time structure of
DIS
processes
38
2.4
Violation of
Björken
scaling;
the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equation
43
2.4.1
Parton
distributions
43
2.4.2
Evolution for quark distribution
45
2.4.3
The DGLAP evolution equations
53
2.4.4
Gluon-gluon splitting function*
56
2.4.5
General solution of the DGLAP equations
60
2.4.6
Double logarithmic approximation
63
Further reading
72
Exercises
72
vi
Contents
3 Energy
evolution and leading logarithm-l/x approximation in QCD
74
3.1
Paradigm shift
74
3.2
Two-gluon exchange: the Low-Nussinov pomeron
76
3.3
The Balitsky-Fadin-Kuraev-Lipatov evolution equation
82
3.3.1
Effective emission vertex
83
3.3.2
Virtual corrections and reggeized gluons
88
3.3.3
The BFKL equation
92
3.3.4
Solution of the BFKL equation
95
3.3.5
Bootstrap property of the BFKL equation*
103
3.3.6
Problems of BFKL evolution: unitarity and diffusion
107
3.4
The nonlinear Gribov-Levin-Ryskin and Mueller-Qiu evolution equation
112
3.4.1
The physical picture of
parton
saturation
112
3.4.2
The GLR-MQ equation
115
Further reading
121
Exercises
121
4 Dipole
approach to high
parton
density QCD
123
4.1 Dipole
picture of
DIS
123
4.2
Glauber-Gribov-Mueller multiple-rescatterings formula
129
4.2.1
Scattering on one
nucleón
130
4.2.2
Scattering on many
nucléons
133
4.2.3
Saturation picture from the GGM formula
139
4.3
Mueller s
dipole
model
141
4.3.1
Dipole
wave function and generating functional
141
4.3.2
The BFKL equation in transverse coordinate space
153
4.3.3
The general solution of the coordinate-space BFKL equation*
159
4.4
The
В
alitsky-Kovchegov equation
163
4.5
Solution of the Balitsky-Kovchegov equation
172
4.5.1
Solution outside the saturation region; extended geometric scaling
172
4.5.2
Solution inside the saturation region; geometric scaling
176
4.5.3
Semiclassical solution
178
4.5.4
Traveling wave solution
181
4.5.5
Numerical solutions
184
4.5.6
Map of high energy QCD
188
4.6
The Bartels-Kwiecinski-Praszalowicz equation*
189
4.7
The odderon*
192
Further reading
195
Exercises
196
5
Classical gluon fields and the color glass condensate
198
5.1
Strong classical gluon fields: the McLerran-Venugopalan model
198
5.1.1
The key idea of the approach
198
5.1.2
Classical gluon field of a single nucleus
200
Contents
vij
5.1.3
Classical gluon distribution
205
5.2
The
Jalilian-Marian-Iancu-McLerran-Weigert-
Leonidov-Kovner
evolution equation
215
5.2.1
The color glass condensate
(CGC)
215
5.2.2
Derivation of JIMWLK evolution
216
5.2.3
Obtaining BK from JIMWLK and the Balitsky hierarchy
224
Further reading
226
Exercises
226
6
Corrections to nonlinear evolution equations
228
6.1
Why we need higher-order corrections
228
6.2
Running-coupling corrections to the BFKL, BK, and JIMWLK evolutions
229
6.2.1
An outline of the running-coupling calculation
230
6.2.2
Impact of running coupling on small-* evolution
235
6.2.3
Nonperturbative effects and renormalons*
240
6.3
The next-to-leading order BFKL and BK equations
242
6.3.1
Short summary of
NLO
calculations
243
6.3.2
Renormalization-group-improved
NLO
approach*
245
Further reading
248
Exercises
249
7
Diffraction at high energy
250
7.1
General concepts
250
7.1.1
Diffraction in optics
250
7.1.2
Elastic scattering and inelastic diffraction
253
7.2
Diffractive dissociation in
DIS
255
7.2.1
Low-mass diffraction
256
7.2.2
Nonlinear evolution equation for high-mass diffraction
262
Further reading
270
Exercises
271
8
Particle production in high energy QCD
272
8.1
Gluon production at the lowest order
272
8.2
Gluon production in
DIS
andpA collisions
274
8.2.1
Quasi-classical gluon production
274
8.2.2
Including nonlinear evolution
284
8.3
Gluon production in nucleus-nucleus collisions
290
Further reading
291
Exercises
292
9
Instead of conclusions
293
9.1
Comparison with experimental data
293
9.1.1
Deep inelastic scattering
294
viii Contents
9.1.2
ProtonCdeuteronJ-nucleus
collisions
295
9.1.3
Proton-proton and heavy ion
collisions
297
9.2
Unsolved theoretical problems
303
Further reading
306
Appendix A: Reference formulas
307
A.I Dirac matrix element tables
307
A.
2
Some useful integrals
307
A.3 Another useful integral
310
Appendix B: Dispersion relations, analyticity, and unitarity of the
scattering amplitude
312
B.I Crossing symmetry and dispersion relations
312
B.2 Unitarity and the Froissart-Martin bound
316
References
319
Index
336
Filling a gap in the current literature, this book is
the first entirely dedicated to high energy quantum
chromodynamics (QCD) including
parton
saturation
and the color glass condensate
(CGC).
It presents
groundbreaking progress on the subject and
describes many problems at the forefront of
research, bringing postgraduate students, theorists
and interested experimentalists up to date with the
current state of research in this field.
The material is presented in a pedagogical way,
with numerous examples and exercises. Discussion
ranges from the quasi-classical McLerran—
Venugopalan model to the linear BFKL and
nonlinear BK/JIMWLK
small
-л
evolution equations.
The authors adopt both a theoretical and an experi¬
mental outlook, and present the physics of strong
interactions in a universal way, making it useful for
physicists from various subcommunities of high
energy and nuclear physics, and applicable to
processes studied at all high energy accelerators
around the world. A selection of color figures is
available at www.cambridge.org/9780521112574.
Yuri V. Kovchegov is Professor in the Department
of Physics at The Ohio State University. He is a
world leader in the field of high energy QCD. In
2006
he was awarded The Raymond and Beverly
Sackler Prize in the Physical Sciences by Tel Aviv
University for a number of groundbreaking contrib¬
utions in the field. The Balitsky-Kovchegov equa¬
tion bears his name.
Eugene Levin is Professor Emeritus in the School
of Physics and Astronomy at Tel Aviv University.
He is the founding father of the field of
parton
saturation and of the constituent quark model.
Equations and approaches that bear his name
include the Levin-Frankfurt quark-counting rules,
the Gribov-Levin-Ryskin nonlinear equation, the
Levin-Tuchin solution, and the Kharzeev-Levin-
Nardi approach, reflecting only a selection of his
many contributions to high energy physics.
Edited
by
т.
Ericson
Theory
Division,
CERN,
Geneva
Ρ. ν.
LANDSHOFF Professor of Mathematical Phvsics, University of Cambridge
This series provides a broad range of high quality books, suitable for experimentalists and theorists,
covering all aspects of particle physics, nuclear physics, cosmology, and the interfaces between them.
Publications in the series will range from experimentally oriented books, for example on accelerators and
detectors, to books describing broad areas of theory and the supporting experimental data.
Filling a gap in the current literature, this book is the first entirely dedicated to high energy
quantum chromodynamics (QCD) including
parton
saturation and the color glass condensate
(CGC).
It presents groundbreaking progress on the subject and describes many problems at the
forefront of research, bringing postgraduate students, theorists, and interested experimentalists up
to date with the current state of research in this field.
The material is presented in a pedagogical way, with numerous examples and exercises.
Discussion ranges from the quasi-classical McLerran-Venugopalan model to the linear BFKL
and nonlinear BK/JIMWLK small-x evolution equations. The authors adopt both a theoretical and
an experimental outlook, and present the physics of strong interactions in a universal way, mak¬
ing it useful for physicists from various subcommunities of high energy and nuclear physics, and
applicable to processes studied at all high energy accelerators around the world. A selection of
color figures is available online at www.cambridge.org/9780521112574.
|
| any_adam_object | 1 |
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| id | DE-604.BV040497086 |
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| indexdate | 2024-07-10T00:25:01Z |
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| isbn | 9780521112574 |
| language | English |
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| series | Cambridge monographs on particle physics, nuclear physics and cosmology |
| series2 | Cambridge monographs on particle physics, nuclear physics and cosmology |
| spelling | Kovchegov, Yuri V. 1973- Verfasser (DE-588)102781154X aut Quantum chromodynamics at high energy Yuri V. Kovchegov; Eugene Levin 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2012 X, 339 S. graph. Darst txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on particle physics, nuclear physics and cosmology 33 Quantenchromodynamik (DE-588)4128082-9 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 s DE-604 Levin, E. M. Verfasser (DE-588)1027749658 aut Cambridge monographs on particle physics, nuclear physics and cosmology 33 (DE-604)BV005321866 33 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025343963&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025343963&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Kovchegov, Yuri V. 1973- Levin, E. M. Quantum chromodynamics at high energy Cambridge monographs on particle physics, nuclear physics and cosmology Quantenchromodynamik (DE-588)4128082-9 gnd |
| subject_GND | (DE-588)4128082-9 |
| title | Quantum chromodynamics at high energy |
| title_auth | Quantum chromodynamics at high energy |
| title_exact_search | Quantum chromodynamics at high energy |
| title_full | Quantum chromodynamics at high energy Yuri V. Kovchegov; Eugene Levin |
| title_fullStr | Quantum chromodynamics at high energy Yuri V. Kovchegov; Eugene Levin |
| title_full_unstemmed | Quantum chromodynamics at high energy Yuri V. Kovchegov; Eugene Levin |
| title_short | Quantum chromodynamics at high energy |
| title_sort | quantum chromodynamics at high energy |
| topic | Quantenchromodynamik (DE-588)4128082-9 gnd |
| topic_facet | Quantenchromodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025343963&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025343963&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005321866 |
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