Pregled bibliografske jedinice broj: 933460
Twist for Snyder space
Twist for Snyder space // European physical journal C : particles and fields, 78 (2018), 3; 194, 9 doi:10.1140/epjc/s10052-018-5657-8 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 933460 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Twist for Snyder space
Autori
Meljanac, Daniel ; Meljanac, Stjepan ; Mignemi, Salvatore ; Pikutić, Danijel ; Štrajn, Rina
Izvornik
European physical journal C : particles and fields (1434-6044) 78
(2018), 3;
194, 9
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
noncommutative space
Sažetak
We construct the twist operator for the Snyder space. Our starting point is a non-associative star product related to a Hermitian realisation of the noncommutative coordinates originally introduced by Snyder. The corresponding coproduct of momenta is non-coassociative. The twist is constructed using a general definition of the star product in terms of a bi-differential operator in the Hopf algebroid approach. The result is given by a closed analytical expression. We prove that this twist reproduces the correct coproducts of the momenta and the Lorentz generators. The twisted Poincaré symmetry is described by a non-associative Hopf algebra, while the twisted Lorentz symmetry is described by the undeformed Hopf algebra. This new twist might be important in the construction of different types of field theories on Snyder space.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
POVEZANOST RADA
Projekti:
EK-H2020-692194 - Institut Ruđer Bošković Twinning projekt: korak dalje za Zavod za teorijsku fiziku (RBI-T-WINNING) (Nesti, Fabrizio, EK ) ( CroRIS)
HRZZ-IP-2014-09-9582 - Prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologija (Meljanac, Stjepan, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Institut "Ruđer Bošković", Zagreb
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada doi link.springer.com link.springer.comCitiraj 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
