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

Jurić, Tajron; Meljanac, Stjepan; Samsarov, Anđelo (2015) Light-like κ-deformations and scalar field theory via Drinfeld twist. Journal of Physics: Conference Series, 634 (1). 012005/1-012005/12. ISSN 1742-6588

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	noncommutative field theory; drinfeld twist
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Towards quantum gravity: noncomutative geometry, field theory and cosmology Stjepan Meljanac IP-2014-09-9582 UNSPECIFIED
Depositing User:	Tajron Jurić
Date Deposited:	14 Jun 2016 10:10
URI:	http://fulir.irb.hr/id/eprint/2892
DOI:	10.1088/1742-6596/634/1/012005

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