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  On the simplified path integral on spheres

Bastianelli, F., & Corradini, O. (2017). On the simplified path integral on spheres. The European Physical Journal C, 77(11): 731. doi:10.1140/epjc/s10052-017-5307-6.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-6524-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E844-C
Genre: Journal Article

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 Creators:
Bastianelli, Fiorenzo1, Author
Corradini, Olindo, Author
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1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: High Energy Physics - Theory, hep-th
 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.

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 Dates: 2017-08-112017-10-192017
 Publication Status: Published in print
 Pages: 20 pages, 1 figure, 2 tables. Discussion improved. Matches version accepted for publication in EPJC
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 Identifiers: arXiv: 1708.03557
DOI: 10.1140/epjc/s10052-017-5307-6
URI: http://arxiv.org/abs/1708.03557
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Title: The European Physical Journal C
Source Genre: Journal
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Pages: - Volume / Issue: 77 (11) Sequence Number: 731 Start / End Page: - Identifier: -