Expansion of Rényi entropy for free scalar fields

Abstract

An expression for the effective action of a conformal scalar on odd spheres allows a relatively simple computation of the expansion coefficients of the Rényi entropy for any odd dimension, d. Explicit values are listed for d=3,5 and 7. The alternative method, using a mapping to a flat conical manifold, is also employed, again for any odd dimension, and some mathematical details are presented on the computation of certain integrals.

arXiv comment11 pages Section on conical method added

Cited by in corpus (3)

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