A 2 Loop 2PPI Analysis of $λφ^4$ at Finite Temperature

Details A 2 Loop 2PPI Analysis of $λφ^4$ at Finite Temperature A 2 Loop 2PPI Analysis of $λφ^4$ at Finite Temperature

2001-08-22

arxiv.org/abs/hep-th/0108163v1

Phys.Rev. D65 (2002) 045015

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 7 figures

Scientific paper

10.1103/PhysRevD.65.045015

We calculate the finite temperature effective potential of $\lambda\phi^4$ 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.

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