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.

13 pages, 2 figures

References in corpus (9)

• Pion and Kaon Condensation at Finite Temperature and Density
• Gauge Invariant Overlaps for Classical Solutions in Open String Field Theory
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Renormalisability of the 2PI-Hartree approximation of multicomponent scalar models in the broken symmetry phase
• Renormalized Finite Temperature phi^4 theory from the 2PI Effective Action
• The pressure of QED from the two-loop 2PI effective action
• Counterterm resummation for 2PI-approximation in constant background
• Phantom field fluctuation induced Higgs effect
• Renormalization in momentum dependent resummations

Cited by in corpus (7)

• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Spontaneous symmetry breakings in the singlet scalar Yukawa model within the auxiliary field method
• Bose-Einstein condensation in dense quark matter
• Non-perturbative construction of counterterms for 2PI-approximation
• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization
• Charged pions asymmetry from the decay of light neutral axial mesons due to interference
• Renormalization and resummation in the O(N) model