Boundary charges in gauge theories: using Stokes theorem in the bulk
By G. Barnich. 2003
151 citations recorded by the source corpus.
Boundary charges in gauge theories (such as the ADM mass in general relativity) can be understood as integrals of linear conserved n − 2 forms of the free theory obtained by linearization around the background. These forms are associated one-to-one with reducibility parameters of this background (such as the time-like Killing vector of Minkowski spacetime). In this paper, closed n − 2 forms in the full interacting theory are constructed in terms of a one-parameter family of solutions to the full equations of motion that admits a reducibility parameter. These forms thus allow one to apply Stokes theorem without bulk contributions and, provided appropriate fall-off conditions are satisfied, they reduce asymptotically near the boundary to the conserved n − 2 forms of the linearized theory. As an application, the first law of black-hole mechanics in asymptotically anti-de Sitter spacetimes is derived.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d6eb468734291f8a58649f0d79f971bbeb88c76e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- Andrew Strominger
- Thomas Hartman
- G. Barnich
- Wei Song
- Cédric Troessaert
- Monica Guica
- Sabrina Pasterski
- Ashoke Sen
In Nuclear and High Energy Physics
- Andrew Strominger
- Thomas Hartman
- G. Barnich
- Wei Song
- Cédric Troessaert
- Monica Guica
- Sabrina Pasterski
- G. Compère
In Statistical and Nonlinear Physics
- Andrew Strominger
- G. Barnich
- Thomas Hartman
- Cédric Troessaert
- Wei Song
- Monica Guica
- Sabrina Pasterski
- G. Compère
Citations in the corpus
- Kerr/CFT Correspondence (2008, background): “onlinear corrections, which must be carefully considered. For this purpose the covariant formalism of Barnich, Brandt and Comp`ere [34, 35], based on [36, 37, 38, 39, 40, 41] and further developed in [42, 43], is the most complete and will be adopted in the following. An example, mathematically quit”
- Surface charge algebra in gauge theories and thermodynamic integrability (2007, unknown): “These surface charge 1-forms c an be used both in the exact [21, 22, 42, 43, 44] and in the asymptotic context [36, 38].”
- BMS charge algebra (2011, background): “Our starting point is the covariant approach to surface char ges and their algebra developed in [10] (see also [11, 12]).”