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Tables of Contents for Quantum Chromodynamics and the Pomeron
Chapter/Section Title
Page #
Page Count
Preface
xiii
2
Acknowledgement
xv
 
1 What is a Pomeron?
1
24
1.1 Life before QCD
1
8
1.2 Sommerfeld-Watson transform
9
1
1.3 Signature
9
2
1.4 Regge poles
11
1
1.5 Factorization
12
1
1.6 Regge trajectories
13
2
1.7 The Pomeron
15
2
1.8 Total cross-sections
17
2
1.9 Differential elastic cross-sections
19
2
1.10 Diffractive dissociation
21
2
1.11 Deep inelastic scattering
23
2
2 A simple example
25
23
2.1 The model
26
1
2.2 The leading order contribution
27
4
2.3 Next-to-leading order contribution
31
7
2.4 The n-rung ladder diagram
38
4
2.5 The integral equation
42
1
2.6 The Pomeron
43
1
2.7 Summary
44
1
2.8 Appendix
45
3
3 The reggeized gluon
48
34
3.1 Leading order calculation
50
3
3.1.1 The eikonal approximation
51
2
3.2 Order XXX(s) corrections
53
2
3.3 Order XXX(2)(s) corrections
55
9
3.4 The 2 XXX (n + 2) amplitude at the tree level
64
8
3.5 Absence of fermion loops
72
1
3.6 Ladders within ladders
73
2
3.7 The integral equation
75
5
3.8 Summary
80
2
4 The QCD Pomeron
82
31
4.1 First three orders of perturbation theory
83
4
4.2 The BFKL equation
87
3
4.3 The solution for zero momentum transfer
90
4
4.4 Impact factors
94
5
4.5 Solution for non-zero momentum transfer
99
4
4.6 Deviations from 'soft' Pomeron behaviour
103
1
4.7 Higher order corrections
104
5
4.8 Summary
109
1
4.9 Appendix
110
3
5 From cuts to poles
113
26
5.1 Diffusion
114
3
5.2 Accounting for the running of the coupling
117
6
5.3 Large momentum transfer
123
3
5.4 The Landshoff-Nachtmann model
126
2
5.5 The effect of non-perturbative propagators
128
7
5.6 The heterotic Pomeron
135
2
5.7 Summary
137
2
6 Applications in deep inelastic scattering
139
36
6.1 Introduction
140
2
6.2 The low-XXX structure functions
142
7
6.3 Associated jet production
149
6
6.4 The Altarelli-Parisi approach
155
7
6.5 Exclusive distributions and coherence
162
7
6.6 Summary
169
1
6.7 Appendix A
169
4
6.8 Appendix B
173
2
7 Diffraction
175
29
7.1 Elastic scattering at t = 0
175
1
7.2 Diffusion in large t elastic scattering
176
9
7.3 Diffraction dissociation and Pomeron substructure
185
17
7.3.1 The proton rest frame picture
185
8
7.3.2 Introduction to photon dissociation
193
5
7.3.3 The Pomeron structure function
198
4
7.4 Summary
202
2
8 Taming the growth
204
34
8.1 Dipole scattering
205
8
8.2 Unitarity
213
18
8.2.1 The operator formalism
215
8
8.2.2 Multiple scattering
223
8
8.3 Summary
231
1
8.4 Appendix A
232
1
8.5 Appendix B
233
5
Appendix: Feynman rules for QCD
238
2
References
240
6
Index
246