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Light-like κ-deformations and scalar field theory via Drinfeld twist


Jurić, Tajron; Meljanac, Stjepan; Samsarov, Anđelo
Light-like κ-deformations and scalar field theory via Drinfeld twist // Journal of Physics: Conference Series, 634 (2015), 1; 012005-012017 doi:10.1088/1742-6596/634/1/012005 (podatak o recenziji nije dostupan, članak, znanstveni)


Naslov
Light-like κ-deformations and scalar field theory via Drinfeld twist

Autori
Jurić, Tajron ; Meljanac, Stjepan ; Samsarov, Anđelo

Izvornik
Journal of Physics: Conference Series (1742-6596) 634 (2015), 1; 012005-012017

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Noncommutative field theory ; drinfeld twist

Sažetak
In this article we will use the Drinfeld twist leading to light-like κ-deformations of Poincar\'e algebra. We shall apply the standard Hopf algebra methods in order to define the star-product, which shall be used to formulate a scalar field theory compatible with κ- Poincar\'e-Hopf algebra. Using this approach we show that there is no problem with formulating integration on κ-Minkowski space and no need for introducing a new measure. We have shown that the ⋆-product obtained from this twist enables us to define a free scalar field theory on κ-Minkowski space that is equivalent to a commutative one on a usual Minkowski space. We also discuss the interacting ϕ4 scalar field model compatible with κ-Poincar\'e-Hopf algebra.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Ustanove
Institut "Ruđer Bošković", Zagreb

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