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Mathematical aspects of quantum fiel...

Calaque, Damien.

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Mathematical aspects of quantum field theories /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical aspects of quantum field theories // edited by Damien Calaque, Thomas Strobl.
other author:	Calaque, Damien.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xxviii, 556 p. :ill. ;24 cm.
Subject:	Quantum field theory - Mathematical models. -
ISBN:	9783319099484
ISSN:	09213767

Mathematical aspects of quantum field theories /
Mathematical aspects of quantum field theories /edited by Damien Calaque, Thomas Strobl. - Cham :Springer International Publishing :2015. - xxviii, 556 p. :ill. ;24 cm. - Mathematical physics studies,0921-3767.. - Mathematical physics studies..

Includes bibliographical references and index.

A derived and homotopical view on field theorie /Damien Calaque -- Locality in perturbative QFTs --

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.

ISBN: 9783319099484EUR94.99

ISSN: 09213767Subjects--Topical Terms:

1060609
Quantum field theory
--Mathematical models.

LC Class. No.: QC174.45 / .M426 2015

Dewey Class. No.: 530.143

Mathematical aspects of quantum field theories /
LDR:03195cam a2200229 a 4500 001 1991857
008 151006s2015 gw a b 001 0 eng
020 $a 9783319099484 $q (hbk.) : $c EUR94.99
020 $a 3319099485 $q (hbk.)
020 $a 9783319099491 $q (ebk.)
020 $a 3319099493 $q (ebk.)
022 $a 09213767
022 $a 23523905(ebk.)
040 $a GP $b eng
050 # 4 $a QC174.45 $b .M426 2015
082 0 4 $a 530.143 $2 23
245 1 0 $a Mathematical aspects of quantum field theories / $c edited by Damien Calaque, Thomas Strobl.
260 # $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xxviii, 556 p. : $b ill. ; $c 24 cm.
490 1 $a Mathematical physics studies, $x 0921-3767.
504 $a Includes bibliographical references and index.
505 0 # $t A derived and homotopical view on field theorie / $r Damien Calaque -- $g Locality in perturbative QFTs -- $t Perturbative algebraic quantum field theory / $r Klaus Fredenhagen and Katarzyna Rejzner -- $t Lectures on mathematical aspects of (twisted) supersymmetric gauge theories / $r Kevin Costello and Claudia Scheimbauer -- $t Snapshots of conformal field theory / $r Katrin Wendland -- $g Chern-Simons theory -- $t Faddeev's quantum dilogarithm and state-integrals on shaped triangulations / $r Jorgen Ellegaard Andersen and Rinat Kashaev -- $t A higher stacky perspective on Chern-Simons theory / $r Domenico Fiorenza, Hisham Sati and Urs Schreiber -- $t Factorization homology in 3-dimensional topology / $r Nikita Markarian & Hiro Lee Tanaka -- $t Deligne-Beilinson cohomology in U(1) Chern-Simons theories / $r Frank Thuillier -- $g (Semi-)Classical field theories -- $t Semiclassical quantization of classical field theories / $r Alberto S. Cattaneo, Pavel Mnev and Nicolai Reshetikhin -- $t Local BRST cohomology for AKSZ field theories: a global approach / $r Giuseppe Bonavolonta and Alexei Kotov -- $t Symplectic and Poisson geometry of the moduli spaces of at connections over quilted surfaces / $r David Li-Bland and Pavol Severa -- $t Groupoids, frobenius algebras and poisson sigma models / $r Ivan Contreras -- $g Algebraic aspects of locality -- $t Notes on factorization algebras, factorization homology and applications / $r Gregory Ginot.
520 # $a 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.
650 # 0 $a Quantum field theory $x Mathematical models. $3 1060609
650 # 0 $a Quantum field theory. $3 523766
650 # 0 $a Mathematical physics. $3 516853
700 1 # $a Calaque, Damien. $3 1533602
700 1 # $a Strobl, Thomas. $3 2134308
830 0 $a Mathematical physics studies. $3 2072974