Abelian duality on globally hyperbolic spacetimes

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Becker, Christian, Benini, Marco, Schenkel, Alexander and Szabo, Richard J. (2017) Abelian duality on globally hyperbolic spacetimes. Communications in Mathematical Physics, 349 (1). pp. 361-392. ISSN 1432-0916

Full text not available from this repository.

Official URL: https://doi.org/10.1007/s00220-016-2669-9

Abstract

We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger-Simons differential cohomology on the category of globally hyperbolic Lorentzian manifolds. Our approach generalizes previous treatments using the Hamiltonian formalism in a manifestly covariant way and without the assumption of compact Cauchy surfaces. We construct semi-classical configuration spaces and corresponding presymplectic Abelian groups of observables, which are quantized by the CCR-functor to the category of C*-algebras. We demonstrate explicitly how duality is implemented as a natural isomorphism between quantum field theories. We apply this formalism to develop a fully covariant quantum theory of self-dual fields.

Item Type:

Article

RIS ID:

https://nottingham-repository.worktribe.com/output/838127

Additional Information:

The final publication is available at Springer via https://doi.org/10.1007/s00220-016-2669-9

Keywords:

Abelian gauge theory, Differential cohomology, Dirac charge quantization, Abelian duality, Self-dual Abelian gauge fields, Algebraic quantum field theory

Schools/Departments:

University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences

Identification Number:

https://doi.org/10.1007/s00220-016-2669-9

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