Temperature phase transition and an effective expansion parameter in the O(N)-model

Details Temperature phase transition and an effective expansion parameter in the O(N)-model Temperature phase transition and an effective expansion parameter in the O(N)-model

2001-07-04

arxiv.org/abs/hep-th/0107027v2

Phys.Rev.D65:085025,2002

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 5 figures, corrected for some misprints, unnecessary section removed

Scientific paper

10.1103/PhysRevD.65.085025

The temperature phase transition in the N-component scalar field theory with spontaneous symmetry breaking is investigated in the perturbative approach. The second Legendre transform is used together with the consideration of the gap equations in the extrema of the free energy. Resummations are performed on the super daisy level and beyond. The phase transition turns out to be weakly of first order. The diagrams beyond the super daisy ones which are calculated correspond to next-to-next-to-leading order in 1/N. It is shown that these diagrams do not alter the phase transition qualitatively. In the limit N goes to infinity the phase transition becomes second order. A comparison with other approaches is done.

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