Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian BRST formalism for gauge fields on black hole spacetimes   We investigate the Becchi-Rouet-Stora-Tyutin (BRST) formalism for gauge
theories on spherically symmetric black hole spacetimes, with or without a
cosmological constant ($\Lambda\geq0$). This is illustrated through the example
of scalar electrodynamics. We first demonstrate that the horizons contribute
additional surface terms to the Gauss law constraint of the theory when gauge
transformations are not required to vanish on the horizons. We then consider
the BRST invariant path integral including these surface terms following the
Hamiltonian BRST formalism. We fix a radiation-like gauge which involves null
components of the electromagnetic field at the horizons. We find that the
presence of the surface terms in the constraint forces the ghost and gauge
fixing actions to include additional surface integrals at the horizons. The
null combination of the gauge fields at the horizons is shown to modify the
ghost number charge of the theory through additional terms at the horizons. We
also demonstrate how one can construct a gauge-fixing fermion which generates
its own nilpotent symmetry transformations, called co-BRST transformations,
that leave the theory invariant. The BRST and co-BRST transformations are
further used to identify dressed (gauge invariant) fields of theory, whose
dressings are affected by the presence of Killing horizons. We conclude with a
discussion of potential applications of our results in soft limits and thermal
field theories on black hole backgrounds.

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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom