A 2 Loop 2PPI Analysis of $\lambda\phi^4$ at Finite Temperature
High Energy Physics - Theory
2009-11-07 v1
Abstract
We calculate the finite temperature effective potential of at the two loop order of the 2PPI expansion. This expansion contains all diagrams which remain connected when two lines meeting at the same point are cut and therefore sums systematically the bubble graphs. At one loop in the 2PPI expansion, the symmetry restoring phase transition is first order. At two loops, we find a second order phase transition with mean field critical exponents.
Cite
@article{arxiv.hep-th/0108163,
title = {A 2 Loop 2PPI Analysis of $\lambda\phi^4$ at Finite Temperature},
author = {G. Smet and T. Vanzielighem and K. Van Acoleyen and H. Verschelde},
journal= {arXiv preprint arXiv:hep-th/0108163},
year = {2009}
}
Comments
17 pages, 7 figures