On the simplified path integral on spheres
High Energy Physics - Theory
2017-12-06 v2
Abstract
We have recently studied a simplified version of the path integral for a particle on a sphere, and more generally on maximally symmetric spaces, and proved that Riemann normal coordinates allow the use of a quadratic kinetic term in the particle action. The emerging linear sigma model contains a scalar effective potential that reproduces the effects of the curvature. We present here further details on the construction, and extend its perturbative evaluation to orders high enough to read off the type-A trace anomalies of a conformal scalar in dimensions d = 14 and d = 16.
Cite
@article{arxiv.1708.03557,
title = {On the simplified path integral on spheres},
author = {Fiorenzo Bastianelli and Olindo Corradini},
journal= {arXiv preprint arXiv:1708.03557},
year = {2017}
}
Comments
20 pages, 1 figure, 2 tables. Discussion improved. Matches version accepted for publication in EPJC