Geometrizing the Klein-Gordon and Dirac equations in doubly special relativity
In this work we discuss the deformed relativistic wave equations, namely the Klein-Gordon and Dirac equations in a doubly special relativity scenario. We employ what we call a geometric approach, based on the geometry of a curved momentum space, which should be seen as complementary to the more spre...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2 February 2023
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| In: |
Classical and quantum gravity
Year: 2023, Volume: 40, Issue: 5, Pages: 1-18 |
| ISSN: | 1361-6382 |
| DOI: | 10.1088/1361-6382/acb4d4 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1361-6382/acb4d4 Verlag, lizenzpflichtig, Volltext: https://dx.doi.org/10.1088/1361-6382/acb4d4 
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| Author Notes: | S.A. Franchino-Viñas, J.J. Relancio |
| Summary: | In this work we discuss the deformed relativistic wave equations, namely the Klein-Gordon and Dirac equations in a doubly special relativity scenario. We employ what we call a geometric approach, based on the geometry of a curved momentum space, which should be seen as complementary to the more spread algebraic one. In this frame we are able to rederive well-known algebraic expressions, as well as to treat yet unresolved issues, to wit, the explicit relation between both equations, the discrete symmetries for Dirac particles, the fate of covariance, and the formal definition of a Hilbert space for the Klein-Gordon case. |
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| Item Description: | Gesehen am 21.03.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1361-6382 |
| DOI: | 10.1088/1361-6382/acb4d4 |