DETERMINANTS, DIRAC OPERATORS, AND ONE-LOOP PHYSICS

Publisher Website
Google Scholar
Abstract
We consider the Dirac operator. Its determinant is examined and in two Euclidean dimensions is explicitly evaluated in terms of geometrical quantities. This leads us to consider a generalization of the Wess-Zumino action that is applicable to arbitrary genus. Our analysis is relevant to a number of interesting systems: Schwinger models on curved two-manifolds; string theories with world-sheet vectors; and as an exploration of possible directions in evaluating determinants in four dimensions.

This publication has 0 references indexed in Scilit: