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Communications in Mathematical Physics

, Volume 357, Issue 2, pp 631–730 | Cite as

Perturbative Quantum Gauge Theories on Manifolds with Boundary

  • Alberto S. Cattaneo
  • Pavel Mnev
  • Nicolai ReshetikhinEmail author
Article
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Abstract

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.

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© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Institut für Mathematik, Universität ZürichZurichSwitzerland
  2. 2.Max Planck Institute for MathematicsBonnGermany
  3. 3.St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of SciencesSaint PetersburgRussian Federation
  4. 4.University of Notre DameNotre DameUSA
  5. 5.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  6. 6.Physics DepartmentSt. Petersburg UniversitySt. PetersburgRussia
  7. 7.KdV Institute for MathematicsUniversity of AmsterdamAmsterdamThe Netherlands

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