Nonanalyticity of the free energy in thermal field theory
Abstract
We study, in a ddimensional spacetime, the nonanalyticity of the thermal free energy in the scalar ϕ^{4} theory as well as in QED. We find that the infrared divergent contributions induce, when d is even, a nonanalyticity in the coupling α of the form (α)^{(d1)/2} whereas when d is odd the nonanalyticity is only logarithmic.
 Publication:

Physical Review D
 Pub Date:
 November 2012
 DOI:
 10.1103/PhysRevD.86.107701
 arXiv:
 arXiv:1211.3091
 Bibcode:
 2012PhRvD..86j7701B
 Keywords:

 11.10.Wx;
 Finitetemperature field theory;
 High Energy Physics  Theory
 EPrint:
 Published in Phys. Rev. D