INDUCED PARITY BREAKING TERMS IN ARBITRARY ODD DIMENSIONS AT FINITE TEMPERATURE

C. D. FOSCO; G. L. ROSSINI; F. A. SCHAPOSNIK

PHYSICAL REVIEW D - PARTICLE AND FILDS

Americal Physical Society

Lugar: New York; Año: 1999 vol. 59 p. 85012 - 85017

0556-2821

  We calculate the exact parity-odd part of the effective action for massive Dirac fermions in 2d+1 dimensions at finite temperature, for a certain class of gauge field configurations. We consider first Abelian external gauge fields, and then we deal with the case of a non-Abelian gauge group containing an Abelian U (1) subgroup. For both cases, it is possible to show that the result depends on topological invariants of the gauge field configurations, and that the gauge transformation properties depend only on those invariants and on the winding number of the gauge transformation.