E-raamat: Lectures On Quantum Chromodynamics

(Univ Of Nantes, France)
  • Formaat: 352 pages, black & white illustrations
  • Ilmumisaeg: 28-Nov-2001
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789812810595
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  • Raamatukogudele
  • Formaat: 352 pages, black & white illustrations
  • Ilmumisaeg: 28-Nov-2001
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789812810595
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Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing Nature. Lectures on Quantum Chromodynamics concentrates, however, not on the phenomenological aspect of QCD; books with comprehensive coverage of phenomenological issues have been written. What the reader will find in this book is a profound discussion on the theoretical foundations of QCD with emphasis on the nonperturbative formulation of the theory: What is gauge symmetry on the classical and on the quantum level? What is the path integral in field theory? How to define the path integral on the lattice, keeping intact as many symmetries of the continuum theory as possible? What is the QCD vacuum state? What is the effective low energy dynamics of QCD? How do the ITEP sum rules work? What happens if we heat and/or squeeze hadronic matter? Perturbative issues are also discussed: How to calculate Feynman graphs? What is the BRST symmetry? What is the meaning of the renormalization procedure? How to resum infrared and collinear singularities? And so on.The book is an outgrowth of the course of lectures given by the author for graduate students at ITEP in Moscow. Much extra material has been added.

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Preface vii
Notation and Conventions xv
Introduction: Some History xix
PART 1: FOUNDATIONS
Yang-Mills Field
3(12)
Path Ordered Exponentials. Invariant Actions
3(8)
Classical Solutions
11(4)
Instantons
15(10)
Topological Charge
15(4)
Explicit Solutions
19(6)
Path Integral in Quantum Mechanics
25(14)
Conventional Approach
25(5)
Euclidean Path Integral
30(2)
Holomorphic Representation
32(2)
Grassmann Dynamic Variables
34(5)
Quantization of Gauge Theories
39(16)
Dirac Quantization Procedure
39(10)
Path Integral on the Lattice
49(6)
θs;-Vacuum
55(14)
Quantum Pendulum
55(7)
Large Gauge Transformations in Non-Abelian Theory
62(7)
PART 2: PERTURBATION THEORY
Diagram Technique in Simple and Complicated Theories
69(16)
Feynman Rules from Path Integral
70(6)
Fixing the Gauge
76(9)
When the Gauge is Fixed
85(18)
Gribov Copies
85(3)
Ward Identities
88(4)
Ghosts and Unitarity
92(4)
BRST Quantization
96(7)
Regularization and Renormalization
103(16)
Different Regularization Schemes
103(6)
Renormalized Theory as an Effective Theory. Slavnov-Taylor Identities
109(10)
Running Coupling Constant
119(24)
One-loop Calculations
119(8)
Renormalization Group. Asymptotic Freedom and Infrared Slavery
127(6)
Observables. Ambiguities. Anomalous Dimensions
133(10)
Weathering Infrared Storms
143(14)
Bloch-Nordsieck Cancellation
144(7)
Non-Abelian Complications. Coherent States
151(6)
Collinear Singularities: Theory and Phenomenology
157(20)
Double Logarithmic Asymptotics
157(2)
Jet Cross Sections
159(6)
DIS and KLN
165(12)
PART 3: NONPERTURBATIVE QCD
Symmetries: Anomalous and Not
177(22)
Conformal Symmetry and its Breaking
179(5)
Anomalous Chiral Symmetry
184(9)
Nonsinglet Chiral Symmetry and its Spontaneous Breaking
193(3)
Effective Chiral Langrangian
196(3)
Quarks on Euclidean Lattice
199(12)
Nielsen-Ninomiya's No-go Theorem
199(4)
Ways to Go. The Ginsparg-Wilson Way
203(8)
Aspects of Chiral Symmetry
211(16)
QCD Inequalities. Vafa-Witten Theorem
211(3)
Euclidean Dirac Spectral Density
214(5)
Infrared Face of Anomaly
219(4)
Chiral Symmetry Breaking and Confinement
223(4)
Mesoscopic QCD
227(14)
Partition Function: Nf = 1
227(3)
Partition Function: Nf ≥ 2
230(2)
Spectral Sum Rules
232(2)
Instanton Gas and Instanton Liquid
234(7)
Fairy QCD
241(14)
Finite θs;
241(6)
Large Nc
247(8)
ITEP Sum Rules: the Duality Festival
255(20)
The Method
255(2)
Nucleon Mass and Residue
257(11)
Pion Formfactor and Nucleon Magnetic Moments
268(7)
Hot and Dense QCD
275(16)
Lukewarm Pion Gas. Restoration of Chiral Symmetry
277(5)
Quark-Gluon Plasma
282(5)
Finite Baryon Density. Color Superconductivity
287(4)
Confinement
291(16)
Weak Confinement and Strong Confinement. Wilson Criterium.
292(3)
Schwinger Model
295(3)
Polyakov Model
298(4)
Dual Superconductivity
302(5)
Appendix Unitary groups 307(8)
Bibliography 315(4)
Index 319