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E-raamat: Strong Interactions of Hadrons at High Energies: Gribov Lectures on Theoretical Physics

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Vladimir Gribov was one of the founding fathers of high-energy elementary particle physics. This book derives from a lecture course he delivered to graduate students in the 1970s. It thus provides today's graduate students and researchers with the opportunity to learn from the teaching of one of the twentieth century's greatest physicists. Its content is still deeply relevant to modern research, for example exploring properties of the relativistic theory of hadron interactions in a domain of peripheral collisions and large distances that quantum chromodynamics has barely approached. It covers a combination of topics not treated elsewhere, whilst remaining self-contained and thus accessible at graduate level. In guiding the reader, step-by-step, from the basics of quantum mechanics and relativistic kinematics to the most challenging problems of high-energy hadron interactions with simplifying models and physical analogies, it demonstrates general methods of addressing difficult problems in theoretical physics.

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A English translation of wide-ranging lectures on high-energy elementary particle physics given by one of the twentieth century's leading physicists.
Foreword ix
Introduction
1(30)
Interaction radius and interaction strength
1(3)
Symmetries of strong interactions
4(3)
Basic properties of the strong interaction
7(3)
Free particles
10(3)
Hadrons as composite objects
13(4)
Interacting particles
17(6)
General properties of S-matrix
23(8)
Analyticity and unitarity
31(42)
Causality and analyticity
31(4)
Singularities of the Born diagrams
35(3)
Higher orders
38(8)
Singularities of Feynman graphs: Landau rules
46(15)
Beyond perturbation theory: relation to unitarity
61(2)
Checking analytic properties of physical amplitudes
63(10)
Resonances
73(19)
How to examine unphysical sheets of the amplitude
73(2)
Partial waves and two-particle unitarity
75(2)
Analytic properties of partial waves and resonances
77(2)
Three-particle unitarity condition
79(1)
Properties of resonances
80(5)
A resonance or a particle?
85(2)
Observation of resonances
87(5)
Electromagnetic interaction of hadrons
92(19)
Electron-proton interaction
92(3)
Form factors
95(5)
Isotopic structure of electromagnetic interaction
100(2)
Deep inelastic scattering
102(9)
Strong interactions at high energies
111(26)
The role of cross-channels
111(2)
Qualitative picture of elastic scattering
113(6)
Analyticity of elastic amplitude and interaction radius
119(5)
Impact parameter representation
124(1)
Constant interaction radius hypothesis
125(3)
Possibility of a growing interaction radius
128(9)
t-channel unitarity and growing interaction radius
137(15)
Analytic continuation of two-particle unitarity
139(6)
ρo = const, σtot = const contradicts t-channel unitarity
145(7)
Theory of complex angular momenta
152(21)
Sommerfeld-Watson representation
153(2)
Non-relativistic theory
155(4)
Complex l in relativistic theory
159(6)
Analytic properties of partial waves and unitarity
165(8)
Reggeon exchange
173(46)
Properties of the Regge poles. Factorization
174(5)
Reggeon quantum numbers. The Pomeranchuk pole
179(7)
Properties of the Pomeranchuk pole
186(5)
Structure of the reggeon residue
191(12)
Elastic scatterings of π and N off the nucleon
203(7)
Conspiracy
210(3)
Fermion Regge poles
213(6)
Regge poles in perturbation theory
219(39)
Reggeons, ladder graphs, and multiparticle production
219(1)
Reggeization in g&phis;3 theory
220(20)
Inelastic processes at high energies
240(18)
Regge pole beyond perturbation theory
258(29)
Basic features of multiparticle production
259(10)
Inconsistency of the Regge pole approximation
269(12)
Reggeon branch cuts and their role
281(6)
Reggeon branchings
287(24)
L = - 1 and restriction on the amplitude falloff with energy
288(8)
Scattering of particles with non-zero spin
296(5)
Multiparticle unitarity and Mandelstam singularities
301(10)
Branchings in the s channel and shadowing
311(23)
Reggeon branchings from the s-channel point of view
311(3)
Calculation of the reggeon-reggeon branching
314(4)
Analytic structure of the particle-reggeon vertex
318(5)
Branchings in quantum mechanics: screening
323(7)
Back to relativistic theory
330(4)
Interacting reggeons
334(20)
Constructing effective field theory of interacting reggeons
334(4)
Feynman diagrams for reggeon branchings
338(7)
Enhanced branchings
345(6)
Feynman diagrams and reggeon unitarity conditions
351(3)
Reggeon field theory
354(27)
Prescriptions for reggeon diagram technique
355(5)
Enhanced diagrams for reggeon propagator
360(3)
σtot const. as an infrared singular point
363(4)
Weak and strong coupling regimes
367(6)
Weak and strong coupling: view from the s channel
373(8)
Particle density fluctuations and RFT
381(37)
Reggeon branchings and AGK cutting rules
381(9)
Absence of branching corrections to inclusive spectrum
390(3)
Two-particle correlations
393(3)
How to tame fluctuations
396(6)
Weak coupling: vanishing pomeron-particle vertices
402(3)
How to rescue a pomeron
405(6)
Vanishing of forward inelastic diffraction in RFT
411(5)
All σtot are asymptotically equal?
416(2)
Strong interactions and field theory
418(52)
Overview
418(4)
Parton picture
422(12)
Deep inelastic scattering
434(5)
The problem of quarks
439(4)
Zero charge in QED and elsewhere
443(4)
Looking for a better QFT
447(7)
Yang-Mills theory
454(13)
Asymptotic freedom
467(3)
Postscript 470(3)
References 473(2)
Index 475
VLADIMIR NAUMOVICH GRIBOV received his PhD in theoretical physics in 1957 from the Physico-Technical Institute in Leningrad where he had worked since 1954. From 1962 to 1980 he was the head of the Theory Division of the Particle Physics Department of the institute, which in 1971 become the Leningrad Institute for Nuclear Physics. In 1980 he moved to Moscow where he became head of the particle physics section of the Landau Institute for Theoretical Physics. From 1981 he regularly visited the Research Institute for Particle and Nuclear Physics in Budapest where he was a scientific adviser until his death in 1997. Vladimir Gribov was one of the leading theoretical physicists of his time, who made seminal contributions to many fields, including quantum electrodynamics, neutrino physics, non-Abelian field theory, and, in particular, the physics of hadron interactions at high energies.