Thermodynamics of the O(N) Nonlinear Sigma Model in 1+1 Dimensions

Details Thermodynamics of the O(N) Nonlinear Sigma Model in 1+1 Dimensions Thermodynamics of the O(N) Nonlinear Sigma Model in 1+1 Dimensions

2003-09-09

arxiv.org/abs/hep-ph/0309091v2

Phys.Rev. D69 (2004) 076006

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.69.076006

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.

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