An Introduction to Regge Theory and High Energy Physics

Cover
Half-title page
Title page
Copyright page
Contents
Preface
1 The scattering matrix
	1.1 Introduction
	1.2 The S-matrix
	1.3 Bubble diagrams and scattering amplitudes
	1.4 The analyticity properties of scattering amplitudes
	1.5 The singularity structure
	1.6 Crossing
	1. 7 The 2→2 amplitude
	1.8 Experimental observables
	1.9 The optical theorem
	1.10 Single-variable dispersion relations
	1.11 The Mandelstam representation
	1.12 The singularities of Feynman integrals
	1.13 Potential scattering
	1.14 The eikonal expansion
2 The complex angular-momentum plane
	2.1 Introduction
	2.2 Partial-wave amplitudes
	2.3 The Froissart-Gribov projection
	2.4 The Froissart bound
	2.5 Signature
	2.6 Singularities of partial-wave amplitudes and dispersion relations
	2.7 Analytic continuation in angular momentum
	2.8 Regge poles
	2.9 The Mandelstam-Sommerfeld-Watson transform
	2.10 The Mellin transform
3 Some models containing Regge poles
	3.1 Introduction
	3.2 Properties of Regge trajectories
	3.3 Potential scattering
	3.4 Regge poles in perturbation field theory
	3.5 Bootstraps
4 Spin
	4.1 Introduction
	4.2 Helicity amplitudes and observables
	4.3 Crossing of helicity amplitudes
	4.4 Partial-wave amplitudes with spin
	4.5 The Froissart-Gribov projection
	4.6 The Sommerfeld-Watson representation
	4.7 Restrictions on Regge singularities from unitarity
	4.8 Fixed singularities and SCR
5 Regge trajectories and resonances
	5.1 Introduction
	5.2 Unitary symmetry
	5.3 The Regge trajectories
	5.4 The analytic properties of trajectories
6 Introduction
	6.1 Introduction
	6.2 Kinematical singularities of Regge residues
	6.3 Nonsense factors
	6.4 Regge poles ins-channel amplitudes
	6.5 Daughters and conspirators
	6.6 Group theoretical methods
	6.7 Internal symmetry and crossing
	6.8 Regge pole phenomenology
7 Duality
	7.1 Introduction
	7.2 Finite-energy sum rules
	7.3 Applications of FESR and duality
	7.4 The Veneziano model
	7.5 Duality and SU(3)
	7.6 Phenomenological implications of duality
	7.7 Conclusions
8 Regge cuts
	8.1 Introduction
	8.2 Regge cuts and Feynman diagrams
	8.3 The Reggeon calculus
	8.4 The absorption and eikonal models
	8.5 Evaluation of Regge cut amplitudes
	8.6 Pomeron cuts and absorption
	8.7 Regge cut phenomenology
9 Multi-Regge theory
	9.1 Introduction
	9.2 Many-particle kinematics
	9.3 Multi-Regge scattering amplitudes
	9.4 Multi-particle dual models
	9.5 Multi-Regge phenomenology
10 Inclusive processes
	10.1 Introduction
	10.2 The kinematics of inclusive processes
	10.3 Inclusive cross-sections
	10.4 Mueller's generalized optical theorem
	10.5 Fragmentation and the single-Regge limit
	10.6 The central region and the double-Regge limit
	10.7 Scaling and duality
	10.8 Triple-Regge behaviour
	10.9 Finite-mass sum rules
	10.10 Correlations and the correlation length
11 Regge models for many-particle cross-sections
	11.1 Introduction
	11.2 The diffraction model
	11.3 The multi-peripheral model
	11.4 The multi-peripheral bootstrap
	11.5 The generating function
	11.6 The two-component model
	11.7 The duality bootstrap
12 Regge poles, elementary particles and weak interactions
	12.1 Introduction
	12.2 Photo-production and vector dominance
	12.3 The Reggeization of elementary particles
	12.4 Fixed poles
	12.5 Deep inelastic scattering
Appendix A The Legendre functions
Appendix B The rotation functions
References
Index