5 de setembro de 2018 | Altas Energias, Publicações

Linde problem in Yang-Mills theory compactified on R2×T2

E. S. Fraga, D. Kroff, J. Noronha

Phys. Rev. D 95, 034031

23/02/2017

Abstract

We investigate the perturbative expansion in SU(3) Yang-Mills theory compactified on R2×T2 where the compact space is a torus T2=Sβ1×SL1, with Sβ1 being a thermal circle with period β=1/T (T is the temperature) while SL1 is a circle with finite length L=1/M, where M is an energy scale. A Linde-type analysis indicates that perturbative calculations for the pressure in this theory break down already at order O(g2) due to the presence of a nonperturbative scale ∼gTM. We conjecture that a similar result should hold if the torus is replaced by any other compact surface of genus one.

10.1103/PhysRevD.95.034031