Abelian duality on globally hyperbolic spacetimes
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 Ha...
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| Format: | Article |
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Springer
2017
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| Online Access: | https://eprints.nottingham.ac.uk/41002/ |
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| author | Becker, Christian Benini, Marco Schenkel, Alexander Szabo, Richard J. |
| author_facet | Becker, Christian Benini, Marco Schenkel, Alexander Szabo, Richard J. |
| author_sort | Becker, Christian |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:43:48Z |
| format | Article |
| id | nottingham-41002 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:48Z |
| publishDate | 2017 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-410022020-05-04T18:28:49Z https://eprints.nottingham.ac.uk/41002/ Abelian duality on globally hyperbolic spacetimes Becker, Christian Benini, Marco Schenkel, Alexander Szabo, Richard J. 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. Springer 2017-01-31 Article PeerReviewed 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 Abelian gauge theory Differential cohomology Dirac charge quantization Abelian duality Self-dual Abelian gauge fields Algebraic quantum field theory https://doi.org/10.1007/s00220-016-2669-9 doi:10.1007/s00220-016-2669-9 doi:10.1007/s00220-016-2669-9 |
| spellingShingle | Abelian gauge theory Differential cohomology Dirac charge quantization Abelian duality Self-dual Abelian gauge fields Algebraic quantum field theory Becker, Christian Benini, Marco Schenkel, Alexander Szabo, Richard J. Abelian duality on globally hyperbolic spacetimes |
| title | Abelian duality on globally hyperbolic spacetimes |
| title_full | Abelian duality on globally hyperbolic spacetimes |
| title_fullStr | Abelian duality on globally hyperbolic spacetimes |
| title_full_unstemmed | Abelian duality on globally hyperbolic spacetimes |
| title_short | Abelian duality on globally hyperbolic spacetimes |
| title_sort | abelian duality on globally hyperbolic spacetimes |
| topic | Abelian gauge theory Differential cohomology Dirac charge quantization Abelian duality Self-dual Abelian gauge fields Algebraic quantum field theory |
| url | https://eprints.nottingham.ac.uk/41002/ https://eprints.nottingham.ac.uk/41002/ https://eprints.nottingham.ac.uk/41002/ |