Finite Temperature Induced Fermion Number In The Nonlinear sigma Model In (2+1) Dimensions

Details Finite Temperature Induced Fermion Number In The Nonlinear sigma Model In (2+1) Dimensions Finite Temperature Induced Fermion Number In The Nonlinear sigma Model In (2+1) Dimensions

2002-04-09

arxiv.org/abs/hep-th/0204082v1

Phys.Rev. D66 (2002) 025004

Physics

High Energy Physics

High Energy Physics - Theory

10 pp, revtex4

Scientific paper

10.1103/PhysRevD.66.025004

We compute the finite temperature induced fermion number for fermions coupled to a static nonlinear sigma model background in (2+1) dimensions, in the derivative expansion limit. While the zero temperature induced fermion number is well known to be topological (it is the winding number of the background), at finite temperature there is a temperature dependent correction that is nontopological -- this finite T correction is sensitive to the detailed shape of the background. At low temperature we resum the derivative expansion to all orders, and we consider explicit forms of the background as a CP^1 instanton or as a baby skyrmion.

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