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

Abstract

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.

arXiv comment13 pages, 2 figures

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• The O(N)-model within the Phi-derivable expansion to order lambda^2: on the existence, UV and IR sensitivity of the solutions to self-consistent equations
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• Study of chiral symmetry restoration in linear and nonlinear O(N) models using the auxiliary field method
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• Bose-Einstein condensation in dense quark matter
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• Non-perturbative construction of counterterms for 2PI-approximation
• Charged pions asymmetry from the decay of light neutral axial mesons due to interference
• Renormalization and resummation in the O(N) model