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Perturbative Method for Mutual Information and Thermal Entropy of Scalar Quantum Fields (2310.06054v2)
Published 9 Oct 2023 in hep-th, gr-qc, hep-lat, and hep-ph
Abstract: A new approach is presented to compute entropy for massless scalar quantum fields. By perturbing a skewed correlation matrix composed of field operator correlation functions, the mutual information is obtained for disjoint spherical regions of size $r$ at separation $R$, including an expansion to all orders in $r/R$. This approach also permits a perturbative expansion for the thermal field entropy difference in the small temperature limit ($T \ll 1/r$).
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