The effects of quantum instantons on the thermodynamics of the CP^(N-1) model

Details The effects of quantum instantons on the thermodynamics of the CP^(N-1) model The effects of quantum instantons on the thermodynamics of the CP^(N-1) model

2006-02-08

arxiv.org/abs/hep-th/0602082v2

Phys.Rev.D74:045028,2006

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 5 figures, revtex. To appear in PRD. Some arguments and conclusions reformulated

Scientific paper

10.1103/PhysRevD.74.045028

Using the 1/N expansion, we study the influence of quantum instantons on the thermodynamics of the CP^(N-1) model in 1+1 dimensions. We do this by calculating the pressure to next-to-leading order in 1/N, without quantum instanton contributions. The fact that the CP^1 model is equivalent to the O(3) nonlinear sigma model, allows for a comparison to the full pressure up to 1/N^2 corrections for N=3. Assuming validity of the 1/N expansion for the CP^1 model makes it possible to argue that the pressure for intermediate temperatures is dominated by the effects of quantum instantons. A similar conclusion can be drawn for general N values by using the fact that the entropy should always be positive.

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