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R\'enyi Entropy of Free Compact Boson on Torus · Around

2015

R\'enyi Entropy of Free Compact Boson on Torus

Chen, Bin, Wu, Jie-qiang

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In this paper, we reconsider the single interval R\'enyi entropy of a free compact scalar on a torus.

In this case, the contribution to the entropy could be decomposed into classical part and quantum part.
The classical part includes the contribution from all the saddle points, while the quantum part is universal.
After considering a different monodromy condition from the one in the literature, we re-evaluate the classical part of the R\'enyi entropy.

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C. P. Herzog and T. Nishioka, “Entanglement Entropy of a Massive Fermion on a Torus,” JHEP 1303
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B. Chen and J. q. Wu, “Large Interval Limit of Rényi Entropy At High Temperature,” arXiv:1412.0763 [hep-th]

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B. Chen and J. q. Wu, “Universal relation between thermal entropy and entanglement entropy in CFT,” arXiv:1412.0761 [hep-th]

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