To half-be or not to be?

• Verfasst von: Rham, Claudia de [VerfasserIn]
• Verfasst von: Garcia-Saenz, Sebastian [VerfasserIn]
• Verfasst von: Heisenberg, Lavinia [VerfasserIn]
• Verfasst von: Pozsgay, Victor [VerfasserIn]
• Verfasst von: Wang, Xinmiao [VerfasserIn]
• Titel: To half-be or not to be?
• Verf.angabe: Claudia de Rham, Sebastian Garcia-Saenz, Lavinia Heisenberg, Victor Pozsgay and Xinmiao Wang
• E-Jahr: 2023
• Jahr: 15 June 2023
• Umfang: 31 S.
• Fussnoten: Gesehen am 25.09.2023
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2023
• Band/Heft Quelle: (2023), 6, Artikel-ID 88, Seite 1-31
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP06(2023)088
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Classical Theories of Gravity
• Sach-SW: Effective Field Theories
• K10plus-PPN: 1860200206

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.