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Mathematical Physics Studies

Mathematical Aspects of Quantum Field Theories

Editors: Calaque, Damien, Strobl, Thomas (Eds.)

  • 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
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Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-09949-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
valid through October 16, 2017
  • ISBN 978-3-319-09948-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 10, 2016
  • ISBN 978-3-319-34412-6
  • Free shipping for individuals worldwide
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.

Table of contents (13 chapters)

  • A Derived and Homotopical View on Field Theories

    Calaque, Damien

    Pages 1-14

  • Perturbative Algebraic Quantum Field Theory

    Fredenhagen, Klaus (et al.)

    Pages 17-55

  • Lectures on Mathematical Aspects of (twisted) Supersymmetric Gauge Theories

    Costello, Kevin (et al.)

    Pages 57-87

  • Snapshots of Conformal Field Theory

    Wendland, Katrin

    Pages 89-129

  • Faddeev’s Quantum Dilogarithm and State-Integrals on Shaped Triangulations

    Andersen, Jørgen Ellegaard (et al.)

    Pages 133-152

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-09949-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
valid through October 16, 2017
  • ISBN 978-3-319-09948-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 10, 2016
  • ISBN 978-3-319-34412-6
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Aspects of Quantum Field Theories
Editors
  • Damien Calaque
  • Thomas Strobl
Series Title
Mathematical Physics Studies
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-09949-1
DOI
10.1007/978-3-319-09949-1
Hardcover ISBN
978-3-319-09948-4
Softcover ISBN
978-3-319-34412-6
Series ISSN
0921-3767
Edition Number
1
Number of Pages
XXVIII, 556
Number of Illustrations and Tables
119 b/w illustrations, 26 illustrations in colour
Topics