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 next-to-leading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be rendered finite by temperature-independent 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.

8 pages, revtex, 3 eps figures; reference added, improved figure 1, minor other changes, conclusions unchanged

References in corpus (2)

• The Gross-Neveu model at finite temperature at next to leading order in the 1/N expansion
• Renormalon disappearance in Borel sum of the 1/N expansion of the Gross-Neveu model mass gap

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• One-loop results for kink and domain wall profiles at zero and finite temperature
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• Heating the O(N) nonlinear sigma model