Massive fermion model in 3d and higher spin currents

Bonora, Loriano and Cvitan, Maro and Dominis Prester, Predrag and Lima de Souza, Bruno and Smolić, Ivica (2016) Massive fermion model in 3d and higher spin currents. Journal of High Energy Physics, 2016 (5). 72-1-72-39. ISSN 1029-8479

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Abstract

We analyze the 3d free massive fermion theory coupled to external sources. The presence of a mass explicitly breaks parity invariance. We calculate two- and three-point functions of a gauge current and the energy momentum tensor and, for instance, obtain the well-known result that in the IR limit (but also in the UV one) we reconstruct the relevant CS action. We then couple the model to higher spin currents and explicitly work out the spin 3 case. In the UV limit we obtain an effective action which was proposed many years ago as a possible generalization of spin 3 CS action. In the IR limit we derive a different higher spin action. This analysis can evidently be generalized to higher spins. We also discuss the conservation and properties of the correlators we obtain in the intermediate steps of our derivation.

Item Type: Article
Keywords: higher spin gravity, Chern-Simons theories, field theories in lower dimensions
Date: 12 May 2016
Subjects: NATURAL SCIENCES > Physics
Additional Information: Open Access, © The Authors. Article funded by SCOAP3 and licensed under CC BY 4.0. Received: March 3, 2016. Accepted: May 5, 2016. Published: May 12, 2016.
Divisions: Faculty of Science > Department of Physics
Project code: UIP-2013-11-8946
Publisher: Springer
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 30 Oct 2017 12:14
Last Modified: 30 Oct 2017 12:14
URI: http://digre.pmf.unizg.hr/id/eprint/5638

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