Surface charge algebra in gauge theories and thermodynamic integrability

DOI10.1063/1.2889721zbMATH Open1152.81327arXiv0708.2378OpenAlexW3100853804MaRDI QIDQ5504871

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Publication date: 23 January 2009

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Abstract: Surface charges and their algebra in interacting Lagrangian gauge field theories are investigated by 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. Finally, we make contact with Hamiltonian and with covariant phase space methods.

Full work available at URL: https://arxiv.org/abs/0708.2378

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