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E-raamat: Quantum Chromodynamics: Perturbative and Nonperturbative Aspects

(Budker Institute of Nuclear Physics, Novosibirsk, Russia), ,
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Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics (QCD). The book exposes various perturbative and nonperturbative approaches to the theory, including chiral effective theory, the problems of anomalies, vacuum tunnel transitions, and the problem of divergence of the perturbative series. The QCD sum rules approach is exposed in detail. A great variety of hadronic properties (masses of mesons and baryons, magnetic moments, form factors, quark distributions in hadrons, etc.) have been found using this method. The evolution of hadronic structure functions is presented in detail, together with polarization phenomena. The problem of jets in QCD is treated through theoretical description and experimental observation. The connection with Regge theory is emphasized. The book covers many aspects of theory which are not discussed in other books, such as CET, QCD sum rules, and BFKL.



Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics.

Arvustused

'One of the special features of this book is the inclusion of new and remarkable topics, e.g. CET, QCD sum rules and BFKL approaches, which are not discussed in other books. provides the reader with a complete understanding of the various aspects of the modern theory of QCD a good reference source for graduate students and researchers involved in QCD theory-related studies.' Contemporary Physics

Muu info

Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics.
Preface ix
General properties of QCD
1(52)
QCD Lagrangian
1(1)
Quantization of the QCD Lagrangian
2(5)
The Gribov ambiguity
7(3)
Feynman rules
10(4)
Regularization
14(1)
s problem
15(3)
Renormalization
18(3)
One-loop calculations
21(6)
Renormalization group
27(8)
Asymptotic freedom in QCD
35(3)
The renormalization scheme and scale ambiguity
38(4)
Anomalous dimensions of twist-2 operators
42(3)
Colour algebra
45(8)
References
49(4)
Chiral symmetry and its spontaneous violation
53(29)
The general properties of QCD at low energies
53(1)
The masses of the light quarks
54(5)
Spontaneous violation of chiral symmetry. Quark condensate
59(2)
Goldstone theorem
61(4)
Chiral effective theory (CET) at low energies
65(9)
Low-energy sum rules in CET
74(2)
The nucleon and pion-nucleon interaction in CET
76(6)
Problems
77(2)
References
79(3)
Anomalies
82(25)
Generalities
82(1)
The axial anomaly
82(11)
The axial anomaly and the scattering of polarized electron (muon) on polarized gluon
93(2)
The scale anomaly
95(5)
The infrared power-like singularities in photon-photon, photon-gluon, and gluon-gluon scattering in massless QED and QCD. Longitudinal gluons in QCD
100(7)
Problems
104(1)
References
105(2)
Instantons and topological quantum numbers
107(38)
Tunneling in quantum mechanics
108(7)
Instantons and the topological current
115(12)
Instantons in Minkowski space-time
127(3)
Fermions in the instanton field. Atiyah-Singer theorem
130(3)
The vacuum structure in QCD
133(1)
The pre-exponential factor of the instanton action. The dilute gas instanton model
134(5)
Quark propagator in the instanton field
139(2)
Appendix
141(4)
Problems
142(1)
References
142(3)
Divergence of perturbation series
145(50)
Renormalization group approach to renormalons
147(5)
High-order estimates in zero-dimensional models
152(3)
Zero charge and asymptotic freedom in scalar models
155(4)
Renormalized strongly nonlinear scalar model
159(6)
Functional approach to the high-order estimates
165(9)
Series divergence in models with gauge interactions
174(8)
Asymptotic estimates in the pure Yang-Mills theory
182(4)
Asymptotic estimates in quantum electrodymamics
186(4)
Applications of high-order estimates
190(5)
References
193(2)
QCD sum rules
195(114)
Operator product expansion
195(4)
Condensates
199(3)
Condensates, induced by external fields
202(2)
QCD sum rules method
204(3)
Determination of αs (Q2) and the condensates from low-energy data
207(22)
Calculations of light meson masses and coupling constants
229(10)
Sum rules for baryon masses
239(13)
Calculation technique
252(7)
Static properties of hadrons
259(20)
Three-point functions and formfactors at intermediate momentum transfers
279(6)
Valence quark distributions in hadrons
285(24)
Problems
299(3)
References
302(7)
Evolution equations
309(93)
Introduction
309(2)
Parton model in QCD
311(5)
Evolution equations for parton distributions
316(8)
Splitting kernels in the Born approximation
324(8)
OPE on light cone and parton model
332(2)
Evolution equations for fragmentation functions
334(4)
Parton distributions in QCD in LLA
338(7)
Hard processes beyond the LLA
345(8)
Parton-number correlators
353(6)
Deep inelastic electron scattering off the polarized proton
359(8)
Parton distributions in polarized nucleon
367(5)
Evolution equations for quasipartonic operators
372(7)
Q2-dependence of the twist-3 structure functions for the polarized target
379(4)
Infrared evolution equations at small x
383(19)
References
397(5)
QCD jets
402(46)
Total cross section of e+e- -annihilation into hadrons
402(3)
Jet production
405(1)
Two-jet events
406(6)
Three-jet events
412(2)
Event shape
414(1)
Inclusive spectra
415(2)
Colour coherence
417(6)
Soft-gluon approximations
423(6)
Soft-gluon distributions
429(4)
Hump-backed shape of parton spectra
433(4)
Multiplicity distributions and KNO scaling
437(1)
Moments of fragmentation functions at small j -- 1
438(3)
Modified Leading Logarithmic Approximation (MLLA)
441(7)
References
444(4)
BFKL approach
448(85)
Introduction
448(2)
Gluon reggeization
450(4)
Reggeon vertices and trajectory
454(15)
BFKL equation
469(7)
BFKL pomeron
476(15)
Bootstrap of the gluon reggeization
491(13)
Next-to-leading order BFKL
504(29)
References
527(6)
Further developments in high-energy QCD
533(46)
Effective-action approach
533(9)
BFKL dynamics and integrability
542(8)
The odderon in QCD
550(11)
Baxter-Sklyanin representation
561(9)
Maximal transcendentality and anomalous dimensions
570(5)
Discussion of obtained results
575(4)
References
575(4)
Notations 579(1)
Index 580
B. L. Ioffe is Head of the Laboratory of Theoretical Physics at ITEP, Moscow. He discovered the origin of baryon masses in QCD, the light-cone dominance in deep inelastic scattering. He predicted that parity violation in weak interactions should be accompanied by violation of charge symmetry or time reversal invariance, and the observation of parity violating spin-momentum correlations would mean the charge symmetry violation. He has won several prizes, including the Alexander von Humboldt Award. V. S. Fadin is Head of the Theoretical Department of the Budker Institute of Nuclear Physics. He is one of the authors of the BFKL equation for parton distributions, which gives the most common basis for the theoretical description of semi-hard processes. He is also one of the discoverers of the coherence effect in gluon emission, which is crucial for inclusive spectra of hadrons in their soft region. L. N. Lipatov is Director of the Theoretical Physics Department at the Institute for Nuclear Physics, St. Petersburg. Amongst his achievements he is one of the authors of the DGLAP and BFKL equations for the parton distributions used in the theoretical description of the deep-inelastic ep scattering and other processes in QCD. He has been awarded prizes from the ITEP and FIAN institutes for outstanding scientific achievements.