Loop calculations in quantummechanical nonlinear sigma models
Abstract
By carefully analyzing the relations between operator methods and the discretized and continuum path integral formulations of quantummechanical systems, we have found the correct Feynman rules for onedimensional path integrals in curved spacetime. Although the prescription how to deal with the products of distributions that appear in the computation of Feynman diagrams in configuration space is surprising, this prescription follows unambiguously from the discretized path integral. We check our results by an explicit twoloop calculation.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00241J
 arXiv:
 arXiv:hepth/9504097
 Bibcode:
 1995NuPhB.446..211D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 17 pages, LaTeX, and one figure