Absence of second order phase transition in $ \lambda \phi^4$ theory
Abstract
We calculate the selfenergy at finite temperature in scalar $\lambda\phi ^4$ theory to second order in a modified perturbation expansion. Using the renormalisation group equation to tame the logarithms in momentum, it gives an equation to determine the critical temperature. Due to the infrared freedom of the theory, this equation is satisfied, irrespective of the value of the temperature. We conclude that there is no second order phase transition in this theory.
 Publication:

arXiv eprints
 Pub Date:
 July 1996
 DOI:
 10.48550/arXiv.hepth/9607087
 arXiv:
 arXiv:hepth/9607087
 Bibcode:
 1996hep.th....7087M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 8 pages