## The Theory of Complex Angular Momenta: Gribov Lectures on Theoretical PhysicsThis 2003 book provides a rigorous introduction to the theory of complex angular momenta, based on the methods of field theory. It comprises an English translation of the series of lectures given by V. N. Gribov in 1969, when the physics of high-energy hadron interactions was being created. Besides their historical significance, these lectures contain material which is highly relevant to research today. The basic physical results and the approaches Gribov developed are now being rediscovered in an alternative context: in the microscopic theory of hadrons provided by quantum chromodynamics. The ideas and calculation techniques presented in this book are useful for analysing high-energy hadron scattering phenomena, deep inelastic lepton-hadron scattering, the physics of heavy ion collisions, kinetic phenomena in phase transitions, and will be instrumental in the analysis of electroweak processes at the next-generation particle accelerators, such as LHC and TESLA. |

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### Contents

1 | |

1 High energy hadron scattering | 8 |

2 Physics of the tchannel and complex angular momenta | 22 |

3 Singularities of partial waves and unitarity | 39 |

4 Properties of Regge poles | 51 |

5 Regge poles in high energy scattering | 61 |

6 Scattering of particles with spin | 71 |

7 Fermion Regge poles | 79 |

12 Tworeggeon exchange and branch point singularities in the l plane | 145 |

13 Properties of Mandelstam branch singularities | 159 |

14 Reggeon diagrams | 168 |

15 Interacting reggeons | 183 |

16 Reggeon field theory | 193 |

17 The structure of weak and strong coupling solutions | 208 |

Appendix A Spacetime description of the hadron interactions at high energies | 216 |

Appendix B Character of inclusive spectra and fluctuations produced in inelastic processes by multipomeron exchange | 240 |

### Other editions - View all

The Theory of Complex Angular Momenta: Gribov Lectures on Theoretical Physics V. N. Gribov No preview available - 2007 |

The Theory of Complex Angular Momenta: Gribov Lectures on Theoretical Physics V. N. Gribov No preview available - 2003 |

### Common terms and phrases

absorptive analytic analytical continuation angular momentum approximation asymptotics behaviour branch points calculate Compton scattering contour contribution corresponding depend diagram of Fig diffraction distribution equation exchange expression factor fermion Feynman diagrams Feynman graph field theory ﬁrst fl(t fluctuations graph Green function hadron Hence high energy imaginary impact parameter inclusive cross section integral interaction intermediate ladder graphs left cut Let us consider logarithmic mass momenta non-relativistic nucleon obtain partial wave amplitude perturbation theory photon Phys physical region Pomeranchuk pomeron previous lecture propagator properties quantum numbers rapidity Regge pole reggeization reggeon diagrams relation relativistic renormalization right cut scattering amplitude shown in Fig signature singularities slow partons t-channel theorem three-reggeon total cross sections trajectory two-particle two-reggeon unitarity condition V.N. Gribov vacuum pole values vector meson vertex vertex function vertices wave function zero