To half-be or not to be?
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...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
15 June 2023
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| In: |
Journal of high energy physics
Year: 2023, Issue: 6, Pages: 1-31 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP06(2023)088 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP06(2023)088
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| Author Notes: | Claudia de Rham, Sebastian Garcia-Saenz, Lavinia Heisenberg, Victor Pozsgay and Xinmiao Wang |
| Summary: | 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. |
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| Item Description: | Gesehen am 25.09.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP06(2023)088 |