Searching for a $C$-function on the three-dimensional sphere

Autor:	Beneventano, C. G., Cavero-Peláez, I., D'Ascanio, D., Santangelo, E. M.
Rok vydání:	2017
Předmět:	High Energy Physics - Theory Condensed Matter - Statistical Mechanics Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/aa8e38
Popis:	We present a detailed analytic study on the three-dimensional sphere of the most popular candidates for $C$-functions, both for Dirac and scalar free massive fields. We discuss to which extent the effective action, the R\'enyi entanglement entropy and the renormalized entanglement entropy fulfill the conditions expected from $C$-functions. In view of the absence of a good candidate in the case of the scalar field, we introduce a new candidate, which we call the modified effective action, and analyze its pros and cons. Comment: 24 pages, 13 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1705.00071 Zobrazit plný text záznamu View this record from Arxiv