Work

Surface charge algebra in gauge theories and thermodynamic integrability

Year: 2008

Type: article

Abstract: Surface charges and their algebra in interacting Lagrangian gauge field theories are constructed out of the underlying linearized theory using techniques from the variational calculus. In the case of exact solutions and symmetries, the surface charges are interpreted as a Pfaff system. Integrability is governed by Frobenius’ theorem and the charges associated with the derived symmetry algebra are shown to vanish. In the asymptotic context, we provide a generalized covariant derivation of the result that the representation of the asymptotic symmetry algebra through charges may be centrally extended. Comparison with Hamiltonian and covariant phase space methods is made. All approaches are shown to agree for exact solutions and symmetries while there are differences in the asymptotic context.

Source: Journal of Mathematical Physics

DOI: 10.1063/1.2889721

Authors: Glenn Barnich, Geoffrey Compère

Institutions: Université Libre de Bruxelles, International Solvay Institutes, University of California, Santa Barbara

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Fonds De La Recherche Scientifique - FNRS

Award: G3565904420