Renormalization Group Approach to the O(N) linear Sigma Model at Finite Temperature

Details Renormalization Group Approach to the O(N) linear Sigma Model at Finite Temperature Renormalization Group Approach to the O(N) linear Sigma Model at Finite Temperature

1999-05-27

arxiv.org/abs/hep-ph/9905502v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, LaTex, 15 figures

Scientific paper

The Wilsonian renormalization group (RG) method is applied to finite temperature systems for the study of non-perturbative methods in the field theory. We choose the O(N) linear sigma model as the first step. Under the local potential approximation, we solve the Wilsonian RG equation as a non-linear partial differential equation numerically. The evolution of the domain is taken into account using the naive cut and extrapolation procedure. Our procedure is shown to yield the correct solution obtained by the auxiliary field method in the large $N$ limit. To introduce thermal effects, we consider two schemes. One in which the sum of the Matsubara frequencies are taken before the scale is introduced is found to give more physical results. We observe a second order phase transition in both the schemes. The critical exponents are calculated and are shown to agree with the results from lattice calculations.

Affiliated with

Also associated with

No associations

Rating

Renormalization Group Approach to the O(N) linear Sigma Model at Finite Temperature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Renormalization Group Approach to the O(N) linear Sigma Model at Finite Temperature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization Group Approach to the O(N) linear Sigma Model at Finite Temperature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-54159