Light-like κ-deformations and scalar field theory via Drinfeld twist (CROSBI ID 222124)
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Podaci o odgovornosti
Jurić, Tajron ; Meljanac, Stjepan ; Samsarov, Anđelo
engleski
Light-like κ-deformations and scalar field theory via Drinfeld twist
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.
noncommutative field theory ; drinfeld twist
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Podaci o izdanju
634 (1)
2015.
012005-012017
objavljeno
1742-6588
1742-6596
10.1088/1742-6596/634/1/012005