Finite temperature induced fermion number in the nonlinear σ 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 CP1 instanton or as a baby Skyrmion.
- Publication:
-
Physical Review D
- Pub Date:
- June 2002
- DOI:
- 10.1103/PhysRevD.66.025004
- arXiv:
- arXiv:hep-th/0204082
- Bibcode:
- 2002PhRvD..66b5004D
- Keywords:
-
- 11.10.Wx;
- 11.10.Kk;
- 12.39.Fe;
- Finite-temperature field theory;
- Field theories in dimensions other than four;
- Chiral Lagrangians;
- High Energy Physics - Theory
- E-Print:
- 10 pp, revtex4