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 ≪ 1/r).
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Acknowledgments
This work is supported by the Natural Sciences and Engineering Research Council of Canada, the Arthur B. McDonald Canadian Astroparticle Physics Research Institute, and the Canada Foundation for Innovation. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science, and Economic Development, and by the Province of Ontario.
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Bramante, J., Buchanan, A. Perturbative method for mutual information and thermal entropy of scalar quantum fields. J. High Energ. Phys. 2024, 19 (2024). https://doi.org/10.1007/JHEP04(2024)019
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DOI: https://doi.org/10.1007/JHEP04(2024)019