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The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions isstudied. We calculate the pressure to next-to-leading order in the 1/Nexpansion and show that at this order, only the minimum of the effectivepotential can be rendered finite by temperature-independent renormalization. Toobtain a finite effective potential away from the minimum requires an arbitrarychoice of prescription, which implies that the temperature dependence isambiguous. We show that the problem is linked to thermal infrared renormalons.Comment: 8 pages, revtex, 3 eps figures; reference added, improved figure 1,  minor other changes, conclusions unchange

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Thermodynamics of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>nonlinear sigma model in 1+1 dimensions

Thermodynamics of theO(N)nonlinear sigma model in 1+1 dimensions