Black hole entropy and the renormalization group
Four decades after its first postulation by Bekenstein, black hole entropy remains mysterious. It has long been suggested that the entanglement entropy of quantum fields on the black hole gravitational background should represent at least an important contribution to the total Bekenstein-Hawking ent...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
14.01.2013
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Subjects | |
Online Access | Get full text |
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Summary: | Four decades after its first postulation by Bekenstein, black hole entropy
remains mysterious. It has long been suggested that the entanglement entropy of
quantum fields on the black hole gravitational background should represent at
least an important contribution to the total Bekenstein-Hawking entropy, and
that the divergences in the entanglement entropy should be absorbed in the
renormalization of the gravitational couplings. In this talk, we describe how
an improved understanding of black hole entropy is obtained by combining these
notions with the renormalization group. By introducing an RG flow scale, we
investigate whether the total entropy of the black hole can be partitioned in a
"gravitational" part related to the flowing gravitational action, and a
"quantum" part related to the unintegrated degrees of freedom. We describe the
realization of this idea for free fields, and the complications and
qualifications arising for interacting fields. |
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DOI: | 10.48550/arxiv.1301.3171 |