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Main Authors: Delplanque, William, Skvortsov, Evgeny
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.13706
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author Delplanque, William
Skvortsov, Evgeny
author_facet Delplanque, William
Skvortsov, Evgeny
contents Massive higher spin fields are notoriously difficult to introduce interactions when they are described by symmetric (spin)-tensors. An alternative approach is to use chiral description that does not have unphysical longitudinal modes. For low spin fields we show that chiral and symmetric approaches can be related via a family of invertible change of variables (equivalent to parent actions), which should facilitate introduction of consistent interactions in the symmetric approach and help to control parity in the chiral one. We consider some examples of electromagnetic and gravitational interactions and their transmutations when going to the chiral formulation. An interesting feature of the relation is how second class constraints get eliminated while preserving Lorentz invariance.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13706
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Symmetric vs. chiral approaches to massive fields with spin
Delplanque, William
Skvortsov, Evgeny
High Energy Physics - Theory
Massive higher spin fields are notoriously difficult to introduce interactions when they are described by symmetric (spin)-tensors. An alternative approach is to use chiral description that does not have unphysical longitudinal modes. For low spin fields we show that chiral and symmetric approaches can be related via a family of invertible change of variables (equivalent to parent actions), which should facilitate introduction of consistent interactions in the symmetric approach and help to control parity in the chiral one. We consider some examples of electromagnetic and gravitational interactions and their transmutations when going to the chiral formulation. An interesting feature of the relation is how second class constraints get eliminated while preserving Lorentz invariance.
title Symmetric vs. chiral approaches to massive fields with spin
topic High Energy Physics - Theory
url https://arxiv.org/abs/2405.13706