Thermal corrections to Rényi entropies for free fermions

DOI10.1007/JHEP04(2016)124zbMATH Open1388.81083arXiv1506.06757MaRDI QIDQ1638580

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Publication date: 12 June 2018

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Abstract: We calculate thermal corrections to R'{e}nyi entropies for free massless fermions on a sphere. More specifically, we take a free fermion on $mathbbRimesmathbb{S}^{d-1}$ and calculate the leading thermal correction to the R'{e}nyi entropies for a cap like region with opening angle $2heta$. By expanding the density matrix in a Boltzmann sum, the problem of finding the R'{e}nyi entropies can be mapped to the problem of calculating a two point function on an $n$ sheeted cover of the sphere. We follow previous work for conformal field theories to map the problem on the sphere to a conical region in Euclidean space. By using the method of images, we calculate the two point function and recover the R'{e}nyi entropies.

Full work available at URL: https://arxiv.org/abs/1506.06757

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