Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-09-24
Acta Phys.Polon. B34 (2003) 5857-5866
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 2 figures, Seminar talk given at the 43st Cracow School of Theoretical Physics, 30 May - 8 June 2003, Zakopane, Polan
Scientific paper
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.
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