1993/07/31 by Deog Ki Hong, D. K. Hong, Sung Hyun Park +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.49.5507
published as Phys.Rev. D49 (1994) 5507-5511 · 14 pages Latex. (Revised version: some changes have been made and references added.) To appear in Phys. Rev. D, SNUTP 93-47
arxiv created 1994/05/10 · openalex publication_date 1994/05/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We analyze the (2 + 1)-dimensional vector-vector type four-Fermi interaction (Thirring) model in the framework of the (1)/(N) expansion. By solving the Dyson-Schwinger equation in the large-N limit, we show that in the two-component formalism the fermions acquire parity-violating mass dynamically in the range of the dimensionless coupling \ensuremathα, 0\ensuremath≤\ensuremathα\ensuremath≤\ensuremathαc\ensuremath≡(1)/(16)exp(\frac\ensuremath-N\ensuremathπ216). The symmetry breaking pattern is, however, in a way to conserve the overall parity of the theory such that the Chern-Simons term is not induced at any orders in (1)/(N). \ensuremathαc turns out to be a nonperturbative UV-fixed point in (1)/(N). The \ensuremathβ function is calculated to be \ensuremathβ(\ensuremathα)=\ensuremath-2(\ensuremathα\ensuremath-\ensuremathαc) near the fixed point, and the UV-fixed point and the \ensuremathβ function are shown to be exact in the (1)/(N) expansion.