Thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions
Abstract
The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to nexttoleading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be rendered finite by temperatureindependent renormalization. To obtain a finite effective potential away from the minimum requires an arbitrary choice of prescription, which implies that the temperature dependence is ambiguous. We show that the problem is linked to thermal infrared renormalons.
 Publication:

Physical Review D
 Pub Date:
 April 2004
 DOI:
 10.1103/PhysRevD.69.076006
 arXiv:
 arXiv:hepph/0309091
 Bibcode:
 2004PhRvD..69g6006A
 Keywords:

 11.10.Wx;
 11.15.Pg;
 Finitetemperature field theory;
 Expansions for large numbers of components;
 High Energy Physics  Phenomenology
 EPrint:
 8 pages, revtex, 3 eps figures