Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics

  • PeterĀ Millington

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Peter Millington
    Pages 1-9
  3. Equilibrium Mechanics

    1. Front Matter
      Pages 11-11
    2. Peter Millington
      Pages 13-14
    3. Peter Millington
      Pages 15-40
    4. Peter Millington
      Pages 41-61
    5. Peter Millington
      Pages 63-71
    6. Peter Millington
      Pages 73-79
    7. Peter Millington
      Pages 81-91
  4. Non-Equilibrium Mechanics

    1. Front Matter
      Pages 93-93
    2. Peter Millington
      Pages 95-96
    3. Peter Millington
      Pages 97-109
    4. Peter Millington
      Pages 111-127
    5. Peter Millington
      Pages 129-140
    6. Peter Millington
      Pages 141-145
    7. Peter Millington
      Pages 147-150
    8. Peter Millington
      Pages 151-155
    9. Peter Millington
      Pages 157-170
    10. Peter Millington
      Pages 171-193
    11. Peter Millington
      Pages 195-197

About this book

Introduction

The author develops a new perturbative formalism of non-equilibrium thermal quantum field theory for non-homogeneous backgrounds. As a result of this formulation, the author is able to show how so-called pinch singularities can be removed, without resorting to ad hoc prescriptions, or effective resummations of absorptive effects. Thus, the author arrives at a diagrammatic approach to non-equilibrium field theory, built from modified Feynman rules that are manifestly time-dependent from tree level. This new formulation provides an alternative framework in which to derive master time evolution equations for physically meaningful particle number densities, which are valid to all orders in perturbation theory and to all orders in gradient expansion. Once truncated in a loop-wise sense, these evolution equations capture non-equilibrium dynamics on all time-scales, systematically describing energy-violating processes and the non-Markovian evolution of memory effects

Keywords

Diagrammatic Approach to Non-Equilibrium Field Theory Imaginary Time Non-Equilibrium Thermal Quantum Field Theory Non-Homogeneous Backgrounds Out-of-Equilibrium Many-Body Dynamics Quantum Statistical Mechanics

Authors and affiliations

  • PeterĀ Millington
    • 1
  1. 1.School of Physics and AstronomyUniversity of ManchesterManchesterUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-01186-8
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-01185-1
  • Online ISBN 978-3-319-01186-8
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book