Nonanalyticity of the free energy in thermal field theory
arXiv:1211.3091 · doi:10.1103/PhysRevD.86.107701
Abstract
We study, in a d-dimensional space-time, the nonanalyticity of the thermal free energy in the scalar phi^4 theory as well as in QED. We find that the infrared divergent contributions induce, when d is even, a nonanalyticity in the coupling alpha of the form (alpha)^[(d-1)/2] whereas when d is odd the nonanalyticity is only logarithmic.
Published in Phys. Rev. D