**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