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Tables of Contents for The Analytic S-Matrix
Chapter/Section Title
Page #
Page Count
Preface
vii
Introduction
Survey of objectives
1
5
The S-matrix and its unitary and kinematic properties
6
4
Analyticity, crossing and dispersion relations
10
12
High-energy behaviour and subtractions
22
4
Feynman diagrams and the S-matrix
26
10
Applications
36
3
Analytic properties of perturbation theory
Singularities of integral representations
39
11
The Landau equations
50
7
The triangle graph
57
16
The square graph
73
7
Single variable dispersion relations and physical-region singularities
80
10
Scattering amplitude as a function of two variables
90
9
Continuation in the external masses
99
5
The acnode graph
104
6
Discontinuities and generalised unitarity
110
6
Second-type singularities
116
7
Asymptotic behaviour
Complex angular momentum
123
3
Relativistic theories
126
5
High-energy behaviour in perturbation theory
131
7
End-point contributions
138
8
Regge poles in perturbation theory
146
5
Mellin transforms and ladder diagrams
151
7
Pinch contributions and the Gribov--Pomeranchuk phenomenon
158
5
Regge cuts
163
7
Particles with spin: Reggeisation
170
6
Production processes
176
6
S-matrix theory
Introductory survey
182
3
Unitarity and connectedness-structure
185
11
Lorentz invariance and kinematics
196
8
Analyticity
204
7
Physical-region poles
211
9
Hermitian analyticity and extended unitarity
220
9
Normal-threshold discontinuities
229
9
Antiparticles, crossing and the TCP theorem
238
9
Unstable particles
247
11
Generation of singularities
258
8
The triangle singularity in the physical region
266
13
References
279
6
Index
285