Pomeron physics and QCD

Contents

1 Properties of the S-matrix
1.1 Kinematics
1.2 The cross
1.3 Unitarity and the optical theorem
1.4 Crossing and analyticity
1.5 Partial-wave amplitudes
1.6 The Froissart-Gribov formula
1.7 The Froissart bound
1.8 The Pomeranchuk theorem

2 Regge poles
2.1 Motivation
2.2 The Sommerfeld-Watson transform
2.3 Connection with particles
2.4 Regge cuts
2.5 Signature and parity of cuts
2.6 Reggeon calculus
2.7 Daughter trajectories
2.8 Fixed poles
2.9 Spin

3 Introduction to soft hadronic processes
3.1 Total cross-sections
3.2 Elastic scattering
3.3 Spin dependence of high energy proton-proton scattering
3.4 Soft diffraction dissociation
3.5 Central production
3.6 Diffractive Higgs production
3.7 Helicity structure of the pomeron
3.8 Glueball production
3.9 The Gribov-Morrison rule
3.10 The odderon
3.11 Scattering off nuclei

4 Duality
4.1 Finite-energy sum rules
4.2 Duality
4.3 Two-component duality and exchange degeneracy
4.4 The Veneziano model
4.5 Pion-nucleon scattering

5 Photon-induced processes
5.1 Photon-proton and photon-photon total cross sections
5.2 Vector-meson dominance model
5.3 Vector-meson photoproduction
5.4 Spin effects in vector-meson photoproduction
5.5 Diffraction dissociation
5.6 Pion photoproduction

6 QCD: perturbative and nonperturbative
6.1 Basics of QCD
6.2 Semi-hard collisions
6.3 Soft hadron-hadron collisions
6.4 The QCD vacuum
6.5 Nonlocal condensates
6.6 Loops and the non-Abelian Stokes theorem
6.7 Stochastic-vacuum model
6.8 Renormalons

7 Hard processes
7.1 Deep-inelastic lepton scattering
7.2 The DGLAP equation
7.3 The BFKL equation
7.4 Regge approach
7.5 Real photons: a crucial question
7.6 Perturbative evolution
7.7 Photon-photon interactions
7.8 Exclusive vector meson production
7.9 Inclusive vector meson photoproduction
7.10 Diffractive structure function
7.11 Diffractive jet production
7.12 The perturbative odderon

8 Soft diffraction and vacuum structure
8.1 The Landshoff-Nachtmann model
8.2 Functional-integral approach
8.3 Quark-quark scattering amplitudes
8.4 Scattering of systems of quarks, antiquarks and gluons
8.5 Evaluation of the dipole-dipole scattering amplitude
8.6 Wave functions of photons and hadrons
8.7 Applications to high-energy hadron-hadron scattering
8.8 Application to photoproduction of vector mesons
8.9 Photoproduction of pseudoscalar and tensor mesons
8.10 The pomeron trajectory and nonperturbative QCD
8.11 Scattering amplitudes in Euclidean space

9 The dipole approach
9.1 Deep-inelastic scattering
9.2 Production processes
9.3 Different approaches to dipole cross sections
9.4 Saturation
9.5 Two-pomeron dipole model

10 Questions for the future

Appendix A Sommerfeld-Watson transform
Appendix B The Group SU(3)
Appendix C Feynman Rules of QCD
Appendix D Pion-nucleon amplitudes
Appendix E The density matrix of vector mesons