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

GAMBOA SARAVI, RICARDO; ROSSINI, GERARDO; SCHAPOSNIK, FIDEL

INTERNATIONAL JOURNAL OF MODERN PHYSICS A

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: London, UK; Año: 1996 vol. 11 p. 2643 - 2660

0217-751X

We study parity violation in (2+1)-dimensional gauge theories coupled to massive fermions. Using the ζ function regularization approach we evaluate the ground state fermion current in an arbitrary gauge field 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 parity breaking produced by a fermion mass term in three dimensions; the other, already present for massless fermions, is related to peculiarities of gauge-invariant regularization in odd-dimensional spaces. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0217751X96001279