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  String-inspired Methods and the Worldline Formalism in Curved Space

Corradini, O., & Muratori, M. (2018). String-inspired Methods and the Worldline Formalism in Curved Space. The European Physical Journal Plus, 133(11): 457. doi:10.1140/epjp/i2018-12293-5.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-0757-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E984-2
Genre: Journal Article

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 Creators:
Corradini, Olindo1, Author
Muratori, Maurizio, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: The worldline approach to quantum field theory (QFT) allows to efficiently compute several quantities, such as one-loop effective actions, scattering amplitudes and anomalies, which are linked to particle path integrals on the circle. A helpful tool in the worldline formalism on the circle, are string-inspired (SI) Feynman rules, which correspond to a specific way of factoring out a zero mode. In flat space this is known to generate no difficulties. In curved space, it was shown how to correctly achieve the zero mode factorization by applying BRST techniques to fix a shift symmetry. Using special coordinate systems, such as Riemann Normal Coordinates, implies the appearance of a non-linear map---originally introduced by Friedan---which must be taken care of in order to obtain the correct results. In particular, employing SI Feynman rules, the map introduces further interactions in the worldline path integrals. In the present paper, we compute in closed form Friedan's map for RNC coordinates in maximally symmetric spaces, and test the path integral model by computing trace anomalies. Our findings match known results.

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 Dates: 2018-08-162018
 Publication Status: Published in print
 Pages: 24 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1808.05401
URI: http://arxiv.org/abs/1808.05401
DOI: 10.1140/epjp/i2018-12293-5
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Title: The European Physical Journal Plus
Source Genre: Journal
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Pages: - Volume / Issue: 133 (11) Sequence Number: 457 Start / End Page: - Identifier: -