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  • © 2015

Mathematical Aspects of Quantum Field Theories

  • Leading experts in the field present the latest advances in quantum field theories
  • Reflecting the diversity of approaches and tools developed in the last years
  • With a part dedicated to (semi-)classical field theories
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematical Physics Studies (MPST)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxviii
  2. Locality in Perturbative QFTs

    1. Front Matter

      Pages 15-15
    2. Perturbative Algebraic Quantum Field Theory

      • Klaus Fredenhagen, Katarzyna Rejzner
      Pages 17-55
    3. Lectures on Mathematical Aspects of (twisted) Supersymmetric Gauge Theories

      • Kevin Costello, Claudia Scheimbauer
      Pages 57-87
    4. Snapshots of Conformal Field Theory

      • Katrin Wendland
      Pages 89-129
  3. Chern–Simons Theory

    1. Front Matter

      Pages 131-131
    2. Faddeev’s Quantum Dilogarithm and State-Integrals on Shaped Triangulations

      • Jørgen Ellegaard Andersen, Rinat Kashaev
      Pages 133-152
    3. A Higher Stacky Perspective on Chern–Simons Theory

      • Domenico Fiorenza, Hisham Sati, Urs Schreiber
      Pages 153-211
    4. Factorization Homology in \(3\) -Dimensional Topology

      • Nikita Markarian, Hiro Lee Tanaka
      Pages 213-231
  4. (Semi-)Classical Field Theories

    1. Front Matter

      Pages 273-273
    2. Semiclassical Quantization of Classical Field Theories

      • Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
      Pages 275-324
    3. Local BRST Cohomology for AKSZ Field Theories: A Global Approach

      • Giuseppe Bonavolontà, Alexei Kotov
      Pages 325-341
  5. Algebraic Aspects of Locality

    1. Front Matter

      Pages 427-427
  6. Back Matter

    Pages 553-556

About this book

Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research.

This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed.

Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments.

This volume consists of four parts:
The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras.

Editors and Affiliations

  • Université Montpellier 2, Montpellier, France

    Damien Calaque

  • Université Claude Bernard Lyon 1, Villeurbanne Cedex, France

    Thomas Strobl

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access