Nonequilibrium Quantum Field Theory

Esteban A. Calzetta; Bei-Lok B. Hu

doi:10.1017/CBO9780511535123

Bringing together the key ideas from nonequilibrium statistical mechanics and powerful methodology from quantum field theory, this book captures the essence of nonequilibrium quantum field theory. Beginning with the foundational aspects of the theory, the book presents important concepts and useful techniques, discusses issues of basic interest, and shows how thermal field, linear response, kinetic theories and hydrodynamics emerge. It also illustrates how these concepts and methodology are applied to current research topics including nonequilibrium phase transitions, thermalization in relativistic heavy ion collisions, the nonequilibrium dynamics of Bose-Einstein condensation, and the generation of structures from quantum fluctuations in the early Universe. Divided into five parts, with each part addressing a particular stage in the conceptual and technical development of the subject, this self-contained book is a valuable reference for graduate students and researchers in particle physics, gravitation, cosmology, atomic-optical and condensed matter physics.

'… a very well written book which covers thoroughly various formalisms for studying nonequilibrium statistical mechanics and nonequilibrium.quantum field theory … The authors have written many of the seminal papers and the book is a masterpiece of pedagogy, explaining and resolving very clearly many of the technical issues that had to be overcome in the development of this subject. It should prove essential reading to anyone venturing to work in this important new field.'

Fred Cooper - Program Director of Theoretical Physics, National Science Foundation

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Nonequilibrium Quantum Field Theory

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Contents

Frontmatter
pp i-viii

Contents
pp ix-xii

Preface
pp xiii-xvi

I - FUNDAMENTALS OF NONEQUILIBRIUM STATISTICAL MECHANICS
pp 1-2

1 - Basic issues in nonequilibrium statistical mechanics
pp 3-38

2 - Relaxation, dissipation, noise and fluctuations
pp 39-59

3 - Quantum open systems
pp 60-90

II - BASICS OF NONEQUILIBRIUM QUANTUM FIELD THEORY
pp 91-92

4 - Quantum fields on time-dependent backgrounds: Particle creation
pp 93-147

5 - Open systems of interacting quantum fields
pp 148-169

6 - Functional methods in nonequilibrium QFT
pp 170-208

III - GAUGE INVARIANCE, DISSIPATION, ENTROPY, NOISE AND DECOHERENCE
pp 209-210

7 - Closed time path effective action for gauge theories
pp 211-230

8 - Dissipation and noise in mean field dynamics
pp 231-250

9 - Entropy generation and decoherence of quantum fields
pp 251-288

IV - THERMAL, KINETIC AND HYDRODYNAMIC REGIMES
pp 289-290

10 - Thermal field and linear response theory
pp 291-314

11 - Quantum kinetic field theory
pp 315-344

12 - Hydrodynamics and thermalization
pp 345-388

V - APPLICATIONS TO SELECTED CURRENT RESEARCH
pp 389-390

13 - Nonequilibrium Bose–Einstein condensates
pp 391-428

14 - Nonequilibrium issues in RHICs and DCCs
pp 429-446

15 - Nonequilibrium quantum processes in the early universe
pp 447-489

References
pp 490-529

Index
pp 530-535

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