Smooth Perturbations to Rényi Entropy
Abstract A method is presented for computing the Rényi 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 coeffici...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2025)233 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849238119528792064 |
|---|---|
| author | Andrew Buchanan |
| author_facet | Andrew Buchanan |
| author_sort | Andrew Buchanan |
| collection | DOAJ |
| description | Abstract A method is presented for computing the Rényi 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 Rényi entropy are analytically computable for all values of the Rényi parameter α in odd dimensions and for integer α in even dimensions. I apply this procedure to compute coefficients for the large distant expansion for the Rényi mutual information of distant balls and the low temperature expansion for the entropy of a thermal field. |
| format | Article |
| id | doaj-art-01ad2c78f85547d09204780b0d2e2503 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-01ad2c78f85547d09204780b0d2e25032025-08-20T04:01:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025713910.1007/JHEP07(2025)233Smooth Perturbations to Rényi EntropyAndrew Buchanan0Department of Physics, Engineering Physics, & Astronomy, Queen’s UniversityAbstract A method is presented for computing the Rényi 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 Rényi entropy are analytically computable for all values of the Rényi parameter α in odd dimensions and for integer α in even dimensions. I apply this procedure to compute coefficients for the large distant expansion for the Rényi mutual information of distant balls and the low temperature expansion for the entropy of a thermal field.https://doi.org/10.1007/JHEP07(2025)233Field Theories in Lower DimensionsLattice Quantum Field TheoryScale and Conformal SymmetriesThermal Field Theory |
| spellingShingle | Andrew Buchanan Smooth Perturbations to Rényi Entropy Journal of High Energy Physics Field Theories in Lower Dimensions Lattice Quantum Field Theory Scale and Conformal Symmetries Thermal Field Theory |
| title | Smooth Perturbations to Rényi Entropy |
| title_full | Smooth Perturbations to Rényi Entropy |
| title_fullStr | Smooth Perturbations to Rényi Entropy |
| title_full_unstemmed | Smooth Perturbations to Rényi Entropy |
| title_short | Smooth Perturbations to Rényi Entropy |
| title_sort | smooth perturbations to renyi entropy |
| topic | Field Theories in Lower Dimensions Lattice Quantum Field Theory Scale and Conformal Symmetries Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP07(2025)233 |
| work_keys_str_mv | AT andrewbuchanan smoothperturbationstorenyientropy |