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

Heating the O(N) nonlinear sigma model

2003/09/24 by Harmen J. Warringa
Physics and Astronomy · #hep-ph

paper · pdf

published as Acta Phys.Polon. B34 (2003) 5857-5866 · 8 pages, 2 figures, Seminar talk given at the 43st Cracow School of Theoretical Physics, 30 May - 8 June 2003, Zakopane, Poland

arxiv created 2003/09/24 · arxiv updated 2009/12/01

Abstract

The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the finite temperature effective potential in leading order in the 1/N expansion and show that at this order the effective potential can be made finite by temperature independent renormalization. We will show that this is not longer possible at next-to-leading order in 1/N. In that case one can only renormalize the minimum of the effective potential in a temperature independent way, which gives us finite physical quantities like the pressure.

Related