Abstract
We investigate the perturbative expansion in Yang-Mills theory compactified on where the compact space is a torus , with being a thermal circle with period ( is the temperature) while is a circle with finite length , where is an energy scale. A Linde-type analysis indicates that perturbative calculations for the pressure in this theory break down already at order due to the presence of a nonperturbative scale . We conjecture that a similar result should hold if the torus is replaced by any other compact surface of genus one.
- Received 17 October 2016
DOI:https://doi.org/10.1103/PhysRevD.95.034031
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