English

Expansion of R\'enyi entropy for free scalar fields

High Energy Physics - Theory 2014-09-23 v2

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 R\'enyi 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.

Keywords

Cite

@article{arxiv.1408.4055,
  title  = {Expansion of R\'enyi entropy for free scalar fields},
  author = {J. S. Dowker},
  journal= {arXiv preprint arXiv:1408.4055},
  year   = {2014}
}

Comments

11 pages Section on conical method added