Soft degrees of freedom, Gibbons-Hawking contribution and entropy from Casimir effect

Barnich, Glenn; Bonte, Martin

doi:10.48550/arxiv.1912.12698

Cited by 2 publications

(2 citation statements)

References 21 publications

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“…Those bulk modes corresponding to the bulk would-be pure gauge configurations. It would be interesting to see the relationship among those modes, the soft hair of black holes [63][64][65][66][67][68][69][70], and Barnich's non-proper gauge degrees of freedom [71][72][73][74].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Gauge theories with non-trivial boundary conditions II: Black holes

Cheng¹

2023

Preprint

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This paper studies the partition function and entropy of U(1) gauge theories with multiple boundaries on black holes background. The non-trivial boundary conditions allow residual zero longitudinal momentum modes and Wilson lines stretched between boundaries. Topological modes of the Wilson lines and other modes are also analyzed in this paper. We study the behavior of the partition function of the theory in different temperature limits, and find the transitions of dominances of different modes as we vary the temperature. Moreover, we find two different area contributions plus logarithm corrections in the entropy. One being part of the bulk fluctuation modes can be seen for finite-temperature black holes, and the other coming from vacuum degeneracy can only be seen in the super-low temperature limit. The gauge fluctuation on the black hole background might help us understand some fundamental aspects of quantum gravity related to gauge symmetries.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Gauge theories with non-trivial boundary conditions II: Black holes

Cheng¹

2023

Preprint

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“…This gives rise to an additional polarization at zero value of the quantized transverse momentum whose dynamics is governed by a free massless scalar field in 2+1 dimensions. Its contribution to the partition function scales with the area of the plates and provides the leading correction at low temperature to the zero temperature Casimir result for the free energy [16,17]. Just as the contribution of the zero mode of a free boson on a torus is essential to achieve modular invariance of the partition function [18,19], so is the contribution of this lower-dimensional massless scalar field in the current context.…”

Section: Introductionmentioning

confidence: 99%

Modular invariance in finite temperature Casimir effect

Alessio,

Barnich

2020

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Soft degrees of freedom, Gibbons-Hawking contribution and entropy from Casimir effect

Cited by 2 publications

References 21 publications

Gauge theories with non-trivial boundary conditions II: Black holes

Gauge theories with non-trivial boundary conditions II: Black holes

Modular invariance in finite temperature Casimir effect

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