2008/08/13 by Antal Jakovác, A. Jakovac
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.78.085013
published as Phys.Rev.D78:085013,2008 · 13 pages, 2 figures
arxiv created 2008/08/13 · openalex publication_date 2008/10/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 a 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.