The Theory of Complex Angular Momenta: Gribov Lectures on Theoretical Physics

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Cambridge University Press, Dec 4, 2003 - Science
This 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

Introduction
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

8 Regge poles in perturbation theory
90
9 Reggeization of an electron
112
10 Vector field theory
121
11 Inconsistency of the Regge pole picture
137
Appendix C Theory of the heavy pomeron
267
Index
296
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About the author (2003)

Vladimir Gribov was one of the leading physicists of the twentieth century.

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