HS in flat spacetime: the effective action method

Bonora, Loriano and Cvitan, Maro and Dominis Prester, Predrag and Giaccari, Stefano and Štemberga, Tamara (2019) HS in flat spacetime: the effective action method. European Physical Journal C, 79. p. 258. ISSN 1434-6044

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Abstract

This is the first paper in a series of three dealing with HS theories in flat spacetime. It is divided in three parts. The first part is an elaboration on the method of effective action, initiated in a previous paper. We study the properties of correlators of currents in the free fermion coupled to external higher spin (HS) potentials, and develop techniques for their explicit calculation. In particular we show how they can be calculated via ordinary Feynman diagram techniques. We also introduce the concept of curved L∞ algebra and show how it can be realized in the context of the fermion model. In part II we compare the results of the scalar model and those of the fermion model (coupled to HS fields). We show that the HS field formulation coming from the scalar model is the ‘square’ of the one ensuing from the fermion model. Finally, in part III, we analyse the possible obstructions that one may meet in constructing the effective action: these are the analogues of anomalies in ordinary gauge theories. We provide explicit and compact formulas of the latter.

Item Type: Article
Date: 2019
Subjects: NATURAL SCIENCES > Physics
Additional Information: © The Author(s) 2019. Received: 20 November 2018; Accepted: 7 February 2019; Published online: 21 March 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Funded by SCOAP3.
Divisions: Faculty of Science > Department of Physics
Publisher: Springer
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 04 Apr 2019 13:28
Last Modified: 04 Apr 2019 13:28
URI: http://digre.pmf.unizg.hr/id/eprint/5914

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