ON LOCALIZATION AND REGULARIZATION

摘要

Different regularizations are studied in localization of path integrals. We discuss the effect of the choice of regularization by evaluating the partition functions for the harmonic oscillator and the Weyl character for SU(2). In particular, we solve the Weyl shift problem that arises in path integral evaluation of the Weyl character by using the Atiyah-Patodi-Singer eta-invariant and the Borel-Weil theory. (C) 1996 American Institute of Physics. [References: 28]