PreprintCC BY 4.0arXiv
Quantum Clausius relation beyond de Sitter equilibrium
Abstract
We establish a direct quantum Clausius relation for conformal fields inside the apparent horizon of a quasi-de Sitter spacetime. We compute the net heat flow across the horizon from the renormalized stress-energy tensor, and independently determine the time evolution of the renormalized von Neumann entropy using the replica method. At leading order in the Hubble-flow expansion, the two calculations agree exactly, without using the gravitational equations of motion. Beyond leading order, we find a scheme-independent entropy balance that includes the corresponding Wald entropy. Our results provide a quantum field theoretic realization of dynamical horizon thermodynamics beyond exact de Sitter equilibrium.
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BibTeX
@misc{gong2026quantum,
title = {{Quantum Clausius relation beyond de Sitter equilibrium}},
author = {Jinn-Ouk Gong and TaeHun Kim and Junghwan Lee and Chang Sub Shin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25206},
eprint = {2609.25206},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25206},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Clausius relation beyond de Sitter equilibrium
AU - Jinn-Ouk Gong
AU - TaeHun Kim
AU - Junghwan Lee
AU - Chang Sub Shin
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.25206
UR - https://arxiv.org/abs/2609.25206
AB - We establish a direct quantum Clausius relation for conformal fields inside the apparent horizon of a quasi-de Sitter spacetime. We compute the net heat flow across the horizon from the renormalized stress-energy tensor, and independently determine the time evolution of the renormalized von Neumann entropy using the replica method. At leading order in the Hubble-flow expansion, the two calculations agree exactly, without using the gravitational equations of motion. Beyond leading order, we find a scheme-independent entropy balance that includes the corresponding Wald entropy. Our results provide a quantum field theoretic realization of dynamical horizon thermodynamics beyond exact de Sitter equilibrium.
ER -