Newton constant, contact terms, and entropy

Sergey N. Solodukhin
Phys. Rev. D 91, 084028 – Published 13 April 2015

Abstract

We discuss the renormalization of the Newton constant due to fields of various spin s. We first briefly review the cases of s=0,1/2,1,3/2 already discussed in the literature and notice the appearance of the well-known contact terms for the vector bosons. We then extend this discussion of the contact terms to massive vector fields, p-forms and to the case of spin s=2 particles (gravitons). We observe that, in general, the contact terms originate from the fields which mediate the interactions (such as vector gauge bosons and gravitons). We then discuss entanglement entropy and the conical entropy and their relation to the renormalized Newton constant. We address the puzzle of the nonanalytic terms due to fields of spin s=2 and suggest that the resolution of this puzzle comes from the nonequivalence of the orbifold and n-fold cover constructions which are used in the entropy calculations. Finally, we propose a mechanism by which the Bekenstein-Hawking entropy is identified with entanglement entropy in any theory which includes both matter fields and the mediators of interactions (vector gauge bosons and gravitons).

  • Received 2 March 2015

DOI:https://doi.org/10.1103/PhysRevD.91.084028

© 2015 American Physical Society

Authors & Affiliations

Sergey N. Solodukhin

  • Laboratoire de Mathématiques et Physique Théorique CNRS-UMR 7350, Université François-Rabelais Tours Fédération Denis Poisson - CNRS, Parc de Grandmont, 37200 Tours, France

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Issue

Vol. 91, Iss. 8 — 15 April 2015

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