Perturbative Quantum Gauge Theories on Manifolds with Boundary

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...

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Bibliographic Details
Published in:Communications in mathematical physics 2018, Vol.357 (2), p.631-730
Main Authors: Cattaneo, Alberto S., Mnev, Pavel, Reshetikhin, Nicolai
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Gluing
Manifolds
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Summary: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-017-3031-6