Double quantization

Gubitosi, G. ; Lizzi, F. ; Relancio, J. J. ; Vitale, P.

Resumen: In a quantum gravity theory, it is expected that the classical notion of spacetime disappears, leading to a quantum structure with new properties. A possible way to take into account these quantum effects is through a noncommutativity of spacetime coordinates. In the literature, there is not a clear way to describe at the same time a noncommutativity of spacetime and the phase-space noncommutativity of quantum mechanics. In this paper we address this issue by constructing a Drinfel''d twist in phase space which deals with both quantizations. This method can be applied to a noncommutativity which involves only space, leaving time aside. We apply our construction to the so-called ?-Minkowski and R?3 noncommutative spaces. © 2022 authors. Published by the American Physical Society.

Idioma: Inglés

DOI: 10.1103/PhysRevD.105.126013

Año: 2022

Publicado en: Physical Review D 105, 12 (2022), 126013 [12 pp]
ISSN: 2470-0010

Factor impacto JCR: 5.0 (2022)

Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 7 / 29 = 0.241 (2022) - Q1 - T1
Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 15 / 69 = 0.217 (2022) - Q1 - T1

Factor impacto CITESCORE: 9.2 - Physics and Astronomy (Q1)

Factor impacto SCIMAGO: 1.639 - Physics and Astronomy (miscellaneous) (Q1) - Nuclear and High Energy Physics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2019-105614GB-C21

Tipo y forma: Article (Published version)