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Mathematical aspects of quantum field theories [electronic resource] / Damien Calaque, Thomas Strobl, editors.

Calaque, Damien, editor.; Strobl, Thomas, editor.
2015
QC174.45
Available Online
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Title
Mathematical aspects of quantum field theories [electronic resource] / Damien Calaque, Thomas Strobl, editors.
ISBN
9783319099491 electronic book
3319099493 electronic book
9783319099484
DOI
https://doi.org/10.1007/978-3-319-09949-1
Published
Cham : Springer, [2015]
Copyright
©2015
Language
English
Description
1 online resource : illustrations.
Item Number
10.1007/978-3-319-09949-1 doi
Call Number
QC174.45
Dewey Decimal Classification
530.143
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from PDF title page (viewed January 22, 2015).
Added Author
Calaque, Damien, editor.
Strobl, Thomas, editor.
Series
Mathematical physics studies.
Available in Other Form
Print version: 9783319099484
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Online Access
Record Appears in
Online Resources > Ebooks
All Resources
A derived and homotopical view on field theories, Damien Calaque
Part I Locality in Perturbative QFTs
2 Perturbative algebraic quantum field theory, Klaus Fredenhagen and Katarzyna Rejzner
Lectures on mathematical aspects of (twisted) supersymmetric gauge theories, Kevin Costello and Claudia Scheimbauer
4 Snapshots of Conformal Field Theory, Katrin Wendland
Part II Chern-Simons Theory
Faddeev's quantum dilogarithm and state-integrals on shaped triangulations, Jørgen Ellegaard Andersen and Rinat Kashaev
6 A higher stacky perspective on Chern-Simons theory, Domenico Fiorenza, Hisham Sati and Urs Schreiber
Factorization homology in 3-dimensional topology, Nikita Markarian & Hiro Lee Tanaka
Manifoldic homology and Chern-Simons formalism (by Nikita Markarian)
Factorization Homology and Link Invariants (by Hiro Lee Tanaka)
Deligne-Beilinson cohomology in U(1) Chern-Simons theories, Frank Thuillier
Part III (Semi-)Classical Field Theories
Semiclassical quantization of classical field theories, Alberto S. Cattaneo, Pavel Mnev and Nicolai Reshetikhin
Local BRST cohomology for AKSZ field theories: a global approach, Giuseppe Bonavolontà and Alexei Kotov
Symplectic and Poisson geometry of the moduli spaces of at connections over quilted surfaces, David Li-Bland and Pavol Ševera
Groupoids, Frobenius algebras and Poisson sigma models, Ivan Contreras
Part IV Algebraic Aspects of Locality
Notes on factorization algebras, factorization homology and applications, Grégory Ginot
Index.

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