Pregled bibliografske jedinice broj: 1100177
Associative realizations of the extended Snyder model
Associative realizations of the extended Snyder model // Physical review. D, 102 (2020), 126011-1 doi:10.1103/PhysRevD.102.126011 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1100177 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Associative realizations of the extended Snyder
model
Autori
Meljanac, Stjepan ; Mignemi, Salvatore
Izvornik
Physical review. D (2470-0010) 102
(2020);
126011-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Snyder spacetime ; realization ; star product ; Hopf algebra ; twist
Sažetak
The star product usually associated with the Snyder model of noncommutative geometry is nonassociative, and this property prevents the construction of a proper Hopf algebra. It is however possible to introduce a well-defined Hopf algebra by including the Lorentz generators and their conjugate momenta into the algebra. In this paper, we study the realizations of this extended Snyder spacetime, and obtain the coproduct and twist and the associative star product in a Weyl-ordered realization, to first order in the noncommutativity parameter. We then extend our results to the most general realizations of the extended Snyder spacetime, always up to first order.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
- Nature Index