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

Published in: (Search for Journal in Brave)

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

m a t h b b R i m e s m a t h b b S^{d - 1}

and calculate the leading thermal correction to the R'{e}nyi entropies for a cap like region with opening angle

2 h e t a

. 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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