56219 20210121114544.0 doi 10.1007/JHEP01(2015)078 sideral 91178 ART-2015-91178 eng (orcid)0000-0003-3669-6241 Asorey, M. Universidad de Zaragoza Topological entropy and renormalization group flow in 3-dimensional spherical spaces 2015 Access copy available to the general public Unrestricted We analyze the renormalization group (RG) flow of the temperature independent term of the entropy in the high temperature limit ß/a « 1 of a massive field theory in 3-dimensional spherical spaces, M 3, with constant curvature 6/a 2. For masses lower than 2p/ß , this term can be identified with the free energy of the same theory on M 3 considered as a 3-dimensional Euclidean space-time. The non-extensive part of this free energy, S hol, is generated by the holonomy of the spatial metric connection. We show that for homogeneous spherical spaces the holonomy entropy S hol decreases monotonically when the RG scale flows to the infrared. At the conformal fixed points the values of the holonomy entropy do coincide with the genuine topological entropies recently introduced. The monotonic behavior of the RG flow leads to an inequality between the topological entropies of the conformal field theories connected by such flow, i.e. S top UV¿>¿S top IR . From a 3-dimensional viewpoint the same term arises in the 3-dimensional Euclidean effective action and has the same monotonic behavior under the RG group flow. We conjecture that such monotonic behavior is generic, which would give rise to a 3-dimensional generalization of the c-theorem, along the lines of the 2-dimensional c-theorem and the 4-dimensional a-theorem. The conjecture is related to recent formulations of the F-theorem. In particular, the holonomy entropy on lens spaces is directly related to the topological Rényi entanglement entropy on disks of 2-dimensional flat spaces. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 6.023 2015 PHYSICS, PARTICLES & FIELDS 4 / 28 = 0.143 2015 Q1 T1 1.343 2015 Nuclear and High Energy Physics 2015 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Beneventano, C.G. (orcid)0000-0002-5575-6775 Cavero-Peláez, I. D'Ascanio, D. Santangelo, E.M. 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 2015, 1 (2015), [35 pp] J. high energy phys. Journal of High Energy Physics 1126-6708 660334 http://zaguan.unizar.es/record/56219/files/texto_completo.pdf Versión publicada 80329 http://zaguan.unizar.es/record/56219/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:56219 articulos driver 2021-01-21-11:17:54 ARTICLE