Smooth Perturbations to R\'enyi Entropy
| Autor: | Buchanan, Andrew |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A method is presented for computing the R\'enyi entropy of a perturbed massless vacuum on the ball via a comparison with lattice field theory. If the perturbed state is Gaussian with smoothly varying correlation functions and the perturbation parameter has units of energy, I show the coefficients for R\'enyi entropy are analytically computable for all R\'enyi parameter $\alpha$ in odd dimensions and for integer $\alpha$ in even dimensions. I apply this procedure to compute coefficients for the large distant expansion for the R\'enyi mutual information of distant balls and the low temperature expansion for the entropy of a thermal field. Comment: Main: 16 pages, 1 figure; Appendix: 20 pages, 3 figures |
| Databáze: | arXiv |
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