Perturbative Quantum Gauge Theories on Manifolds with Boundary

被引：52

作者：

Cattaneo, Alberto S. ^{[1
]}

Mnev, Pavel ^{[2
,3
,4
]}

Reshetikhin, Nicolai ^{[5
,6
,7
]}

机构：

[1] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

[3] Russian Acad Sci, VA Steklov Inst Math, St Petersburg Dept, Fontanka 27, St Petersburg 191023, Russia

[4] Univ Notre Dame, 255 Hurley, Notre Dame, IN 46556 USA

[5] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[6] St Petersburg Univ, Dept Phys, St Petersburg, Russia

[7] Univ Amsterdam, KdV Inst Math, Pk 904, NL-1098 XH Amsterdam, Netherlands

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 357卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

DEFORMATION-THEORY; QUANTIZATION; GEOMETRY; TORSION; REPRESENTATIONS; FORMALISM; FORMS;

D O I：

10.1007/s00220-017-3031-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper introduces a general perturbative quantization scheme for gauge theories on manifolds with boundary, compatible with cutting and gluing, in the cohomological symplectic (BV-BFV) formalism. Explicit examples, like abelian BF theory and its perturbations, including nontopological ones, are presented.

引用

页码：631 / 730

页数：100

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