Perturbative Quantum Gauge Theories on Manifolds with Boundary

Autor:	Nicolai Reshetikhin, Alberto S. Cattaneo, Pavel Mnev
Přispěvatelé:	University of Zurich, Reshetikhin, Nicolai, Algebra, Geometry & Mathematical Physics (KDV, FNWI)
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	High Energy Physics - Theory Mathematics - Differential Geometry Complex system FOS: Physical sciences 01 natural sciences Theoretical physics Quantization (physics) High Energy Physics::Theory 510 Mathematics Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Quantum Algebra (math.QA) 3109 Statistical and Nonlinear Physics Mathematics - Algebraic Topology Gauge theory 0101 mathematics Abelian group 2610 Mathematical Physics Quantum Mathematics::Symplectic Geometry Mathematical Physics Physics 010102 general mathematics Statistical and Nonlinear Physics Mathematical Physics (math-ph) Formalism (philosophy of mathematics) 10123 Institute of Mathematics High Energy Physics - Theory (hep-th) Differential Geometry (math.DG) 010307 mathematical physics 81T70 (Primary) 81T45 81T13 81T20 53D55 53D50 57R56 58A50 58T52 81Q30 (Secondary) Symplectic geometry
Zdroj:	Communications in Mathematical Physics, 357(2), 631-730. Springer New York Communications in Mathematical Physics
ISSN:	0010-3616
DOI:	10.1007/s00220-017-3031-6
Popis:	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. Ver. 2: Improved presentation, especially we added a detailed discussion of the space of states. To appear in Commun. Math. Phys
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b4a7a78ce1557243c94a06397fe7701 https://doi.org/10.1007/s00220-017-3031-6 Zobrazit plný text záznamu Plný text ve formátu PDF