Renormalization of O(N) model in 1/N expansion in auxiliary field formalism

Details Renormalization of O(N) model in 1/N expansion in auxiliary field formalism Renormalization of O(N) model in 1/N expansion in auxiliary field formalism

2008-08-13

arxiv.org/abs/0808.1800v1

Phys.Rev.D78:085013,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures

Scientific paper

10.1103/PhysRevD.78.085013

We study the renormalization of the O(N) model using the auxiliary field formalism (Hubbard-Stratonovich transformation) in the 1/N expansion at finite temperature. We provide the general strategy of renormalization for arbitrary order, and make calculation up to next-to-leading order. We show that renormalization is possible for any values of the condensates, prove the temperature independence of the counterterms and determine the cutoff dependence of the first nontrivial counterterm parts.

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