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Quantum Chromodynamics at High Energy Revised edition [Pehme köide]

(Tel-Aviv University), (Ohio State University)
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Teised raamatud teemal:
Filling a gap in the current literature, this book is 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 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, making it useful for physicists from across high energy and nuclear physics, and applicable to processes studied at high energy accelerators around the world. This title, first published in 2012, has been reissued as an Open Access publication on Cambridge Core.

This book is dedicated to high energy quantum chromodynamics including parton saturation and the color glass condensate. It presents groundbreaking progress on the subject and describes many problems at the forefront of research. This title, first published in 2012, has been reissued as an Open Access publication on Cambridge Core.

Muu info

This 2012 volume, now OA, is dedicated to high energy quantum chromodynamics including parton saturation and the color glass condensate.
Preface ix
1 Introduction: Basics of QCD perturbation theory
1(1)
1.1 The QCD Lagrangian
1(2)
1.2 A review of Feynman rules for QCD
3(4)
1.2.1 QCD Feynman rules
6(1)
1.3 Rules of light cone perturbation theory
7(7)
1.3.1 QCD LCPT rules
10(2)
1.3.2 Light cone wave function
12(2)
1.4 Sample LCPT calculations
14(5)
1.4.1 LCPT "cross-check"
14(3)
1.4.2 A sample light cone wave function
17(2)
1.5 Asymptotic freedom
19(3)
2 Deep inelastic scattering
22(52)
2.1 Kinematics, cross section, and structure functions
22(5)
2.2 Parton model and Bjorken scaling
27(11)
2.2.1 Warm-up: DIS on a single free quark
27(2)
2.2.2 Full calculation: DIS on a proton
29(9)
2.3 Space-time structure of DIS processes
38(5)
2.4 Violation of Bjorken scaling; the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equation
43(31)
2.4.1 Parton distributions
43(2)
2.4.2 Evolution for quark distribution
45(8)
2.4.3 The DGLAP evolution equations
53(3)
2.4.4 Gluon-gluon splitting function*
56(4)
2.4.5 General solution of the DGLAP equations
60(3)
2.4.6 Double logarithmic approximation
63(9)
Further Reading
72(1)
Exercises
72(2)
3 Energy evolution and leading logarithm-1/x approximation in QCD
74(49)
3.1 Paradigm shift
74(2)
3.2 Two-gluon exchange: the Low-Nussinov pomeron
76(6)
3.3 The Balitsky-Fadin-Kuraev-Lipatov evolution equation
82(30)
3.3.1 Effective emission vertex
83(5)
3.3.2 Virtual corrections and reggeized gluons
88(4)
3.3.3 The BFKL equation
92(3)
3.3.4 Solution of the BFKL equation
95(8)
3.3.5 Bootstrap property of the BFKL equation*
103(4)
3.3.6 Problems of BFKL evolution: unitarity and diffusion
107(5)
3.4 The nonlinear Gribov-Levin-Ryskin and Mueller-Qiu evolution equation
112(11)
3.4.1 The physical picture of parton saturation
112(3)
3.4.2 The GLR-MQ equation
115(6)
Further Reading
121(1)
Exercises
121(2)
4 Dipole approach to high parton density QCD
123(75)
4.1 Dipole picture of DIS
123(6)
4.2 Glauber-Gribov-Mueller multiple-rescatterings formula
129(12)
4.2.1 Scattering on one nucleon
130(3)
4.2.2 Scattering on many nucleons
133(6)
4.2.3 Saturation picture from the GGM formula
139(2)
4.3 Mueller's dipole model
141(22)
4.3.1 Dipole wave function and generating functional
141(12)
4.3.2 The BFKL equation in transverse coordinate space
153(6)
4.3.3 The general solution of the coordinate-space BFKL equation*
159(4)
4.4 The Balitsky-Kovchegov equation
163(9)
4.5 Solution of the Balitsky-Kovchegov equation
172(17)
4.5.1 Solution outside the saturation region; extended geometric scaling
172(4)
4.5.2 Solution inside the saturation region; geometric scaling
176(2)
4.5.3 Semiclassical solution
178(3)
4.5.4 Traveling wave solution
181(3)
4.5.5 Numerical solutions
184(4)
4.5.6 Map of high energy QCD
188(1)
4.6 The Bartels-Kwiecinski-Praszalowicz equation*
189(3)
4.7 The odderon*
192(6)
Further Reading
195(1)
Exercises
196(2)
5 Classical gluon fields and the color glass condensate
198(30)
5.1 Strong classical gluon fields: the McLerran-Venugopalan model
198(17)
5.1.1 The key idea of the approach
198(2)
5.1.2 Classical gluon field of a single nucleus
200(5)
5.1.3 Classical gluon distribution
205(10)
5.2 The Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner evolution equation
215(13)
5.2.1 The color glass condensate (CGC)
215(1)
5.2.2 Derivation of JIMWLK evolution
216(8)
5.2.3 Obtaining BK from JIMWLK and the Balitsky hierarchy
224(2)
Further Reading
226(1)
Exercises
226(2)
6 Corrections to nonlinear evolution equations
228(22)
6.1 Why we need higher-order corrections
228(1)
6.2 Running-coupling corrections to the BFKL, BK, and JIMWLK evolutions
229(13)
6.2.1 An outline of the running-coupling calculation
230(5)
6.2.2 Impact of running coupling on small-x evolution
235(5)
6.2.3 Nonperturbative effects and renormalons*
240(2)
6.3 The next-to-leading order BFKL and BK equations
242(8)
6.3.1 Short summary of NLO calculations
243(2)
6.3.2 Renormalization-group-improved NLO approach*
245(3)
Further Reading
248(1)
Exercises
249(1)
7 Diffraction at high energy
250(22)
7.1 General concepts
250(5)
7.1.1 Diffraction in optics
250(3)
7.1.2 Elastic scattering and inelastic diffraction
253(2)
7.2 Diffractive dissociation in DIS
255(17)
7.2.1 Low-mass diffraction
256(6)
7.2.2 Nonlinear evolution equation for high-mass diffraction
262(8)
Further Reading
270(1)
Exercises
271(1)
8 Particle production in high energy QCD
272(21)
8.1 Gluon production at the lowest order
272(2)
8.2 Gluon production in DIS and pA collisions
274(16)
8.2.1 Quasi-classical gluon production
274(10)
8.2.2 Including nonlinear evolution
284(6)
8.3 Gluon production in nucleus-nucleus collisions
290(3)
Further Reading
291(1)
Exercises
292(1)
9 Instead of conclusions
293(14)
9.1 Comparison with experimental data
293(10)
9.1.1 Deep inelastic scattering
294(1)
9.1.2 Proton(deuteron)-nucleus collisions
295(2)
9.1.3 Proton-proton and heavy ion collisions
297(6)
9.2 Unsolved theoretical problems
303(4)
Further Reading
306(1)
Appendix A Reference formulas
307(5)
A.1 Dirac matrix element tables
307(1)
A.2 Some useful integrals
307(3)
A.3 Another useful integral
310(2)
Appendix B Dispersion relations, analyticity, and unitarity of the scattering amplitude
312(7)
B.1 Crossing symmetry and dispersion relations
312(4)
B.2 Unitarity and the Froissart-Martin bound
316(3)
References 319(17)
Index 336