Galilei particles revisited
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916655621210112 |
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| author | Figueroa-O'Farrill, José Miguel Pekar, Simon Pérez, Alfredo Prohazka, Stefan |
| author_facet | Figueroa-O'Farrill, José Miguel Pekar, Simon Pérez, Alfredo Prohazka, Stefan |
| contents | We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group. Equivalently, these are coadjoint orbits and unitary irreducible representations of the Bargmann group, the universal central extension of the Galilei group. We provide an action principle in each case, discuss the nonrelativistic limit, as well as exhibit, whenever possible, the unitary irreducible representations in terms of fields on Galilei spacetime. Motivated by a forthcoming study of planons we pay close attention to the mobility of the less familiar massless Galilei particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03241 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Galilei particles revisited Figueroa-O'Farrill, José Miguel Pekar, Simon Pérez, Alfredo Prohazka, Stefan High Energy Physics - Theory Strongly Correlated Electrons Representation Theory We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group. Equivalently, these are coadjoint orbits and unitary irreducible representations of the Bargmann group, the universal central extension of the Galilei group. We provide an action principle in each case, discuss the nonrelativistic limit, as well as exhibit, whenever possible, the unitary irreducible representations in terms of fields on Galilei spacetime. Motivated by a forthcoming study of planons we pay close attention to the mobility of the less familiar massless Galilei particles. |
| title | Galilei particles revisited |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Representation Theory |
| url | https://arxiv.org/abs/2401.03241 |