vix.ing · top · new · best · stats · spec

On the renormalization of the bosonized multi-flavor Schwinger model

2007/07/31 by I. Nándori, I. Nandori
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/j.physletb.2008.03.011

published as Phys.Lett.B662:302-308,2008 · 13 pages, 2 figures, final version, published in Physics Letters B

openalex publication_date 2008/03/14 · arxiv created 2008/04/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The phase structure of the bosonized multi-flavor Schwinger model is investigated by means of the differential renormalization group (RG) method. In the limit of small fermion mass the linearized RG flow is sufficient to determine the low-energy behavior of the N-flavor model, if it has been rotated by a suitable rotation in the internal space. For large fermion mass, the exact RG flow has been solved numerically. The low-energy behavior of the multi-flavor model is rather different depending on whether N=1 or N>1, where N is the number of flavors. For N>1 the reflection symmetry always suffers breakdown in both the weak and strong coupling regimes, in contrary to the N=1 case, where it remains unbroken in the strong coupling phase.

Citations