THE ZETA-FUNCTION ANSWER TO PARITY VIOLATION IN 3-DIMENSIONAL GAUGE-THEORIES

Citation
Reg. Saravi et al., THE ZETA-FUNCTION ANSWER TO PARITY VIOLATION IN 3-DIMENSIONAL GAUGE-THEORIES, International journal of modern physics A, 11(15), 1996, pp. 2643-2660
Citations number
30
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
ISSN journal
0217751X
Volume
11
Issue
15
Year of publication
1996
Pages
2643 - 2660
Database
ISI
SICI code
0217-751X(1996)11:15<2643:TZATPV>2.0.ZU;2-3
Abstract
We study parity violation in (2 + 1)-dimensional gauge theories couple d to massive fermions. Using the zeta function regularization approach we evaluate the ground state fermion current in an arbitrary gauge fi eld background, showing that it gets two different contributions which violate parity invariance and induce a Chern-Simons term in the gauge field effective action. One is related to the well-known classical pa rity breaking produced by a fermion mass term in three dimensions; the other, already present for massless fermions, is related to peculiari ties of gauge-invariant regularization in odd-dimensional spaces.