To half-be or not to be?
File(s)JHEP06(2023)088.pdf (440.38 KB)
Published version
Author(s)
de Rham, Claudia
Garcia-Saenz, Sebastian
Heisenberg, Lavinia
Pozsgay, Victor
Wang, Xinmiao
Type
Journal Article
Abstract
It has recently been argued that half degrees of freedom could emerge in Lorentz and parity invariant field theories, using a non-linear Proca field theory dubbed Proca-Nuevo as a specific example. We provide two proofs, using the Lagrangian and Hamiltonian pictures, that the theory possesses a pair of second class constraints, leaving D − 1 degrees of freedom in D spacetime dimensions, as befits a consistent Proca model. Our proofs are explicit and straightforward in two dimensions and we discuss how they generalize to an arbitrary number of dimensions. We also clarify why local Lorentz and parity invariant field theories cannot hold half degrees of freedom.
Date Issued
2023-06-15
Date Acceptance
2023-05-24
Citation
The Journal of High Energy Physics, 2023, 2023 (6), pp.1-31
ISSN
1029-8479
Publisher
SpringerOpen
Start Page
1
End Page
31
Journal / Book Title
The Journal of High Energy Physics
Volume
2023
Issue
6
Copyright Statement
© The Author(s). Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
License URL
Identifier
http://dx.doi.org/10.1007/jhep06(2023)088
Publication Status
Published
Article Number
88
Date Publish Online
2023-06-15