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

Abstract

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.

10 pp, revtex4

References in corpus (3)

• Particle number fractionization of an atomic Fermi-Dirac gas in an optical lattice
• Casimir Effects in Renormalizable Quantum Field Theories
• Thermal Fluctuations of Induced Fermion Number

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• Induced quantum numbers of a magnetic vortex at nonzero temperature
• Finite Temperature Induced Fermion Number for Quarks in a Chiral Field
• Competing mechanisms of chiral symmetry breaking in a generalized Gross-Neveu model
• Exact tricritical point from next-to-leading-order stability analysis