Operators, Geometry and Quanta

Methods of Spectral Geometry in Quantum Field Theory

Authors:

ISBN: 978-94-007-0204-2 (Print) 978-94-007-0205-9 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages I-XVI

  2. The Basics

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-28

      Geometrical Background

    3. No Access

      Book Chapter

      Pages 29-50

      Quantum Fields

  3. Spectral geometry

    1. Front Matter

      Pages 51-51

    2. No Access

      Book Chapter

      Pages 53-65

      Operators and Their Spectra

    3. No Access

      Book Chapter

      Pages 67-94

      Heat Equation

    4. No Access

      Book Chapter

      Pages 95-114

      Spectral Functions

    5. No Access

      Book Chapter

      Pages 115-124

      Non-linear Spectral Problems

  4. Applications

    1. Front Matter

      Pages 125-125

    2. No Access

      Book Chapter

      Pages 127-155

      Effective Action

    3. No Access

      Book Chapter

      Pages 157-176

      Quantum Anomalies

    4. No Access

      Book Chapter

      Pages 177-196

      Vacuum Energy

    5. No Access

      Book Chapter

      Pages 197-204

      Open Strings and Born-Infeld Action

    6. No Access

      Book Chapter

      Pages 205-217

      Noncommutative Geometry and Field Theory

  5. Problem solving

    1. Front Matter

      Pages 219-219

    2. No Access

      Book Chapter

      Pages 221-271

      Solutions to Exercises

  6. Back Matter

    Pages 273-286