Abstract
The covariant phase space technique is a powerful formalism for understanding the Hamiltonian description of covariant field theories. However, applications of this technique to problems involving subregions, such as the exterior of a black hole, have heretofore been plagued by ambiguities arising at the boundary. We provide a resolution of these ambiguities by directly computing the symplectic structure from the path integral, showing that it may be written as a contour integral around a partial Cauchy surface. We comment on the implications for gauge symmetry and entanglement.
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Kirklin, J. Unambiguous phase spaces for subregions. J. High Energ. Phys. 2019, 116 (2019). https://doi.org/10.1007/JHEP03(2019)116
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DOI: https://doi.org/10.1007/JHEP03(2019)116