Lightlike κdeformations and scalar field theory via Drinfeld twist
Abstract
In this article we will use the Drinfeld twist leading to lightlike κdeformations of Poincaré algebra. We shall apply the standard Hopf algebra methods in order to define the starproduct, which shall be used to formulate a scalar field theory compatible with κPoincaréHopf algebra. Using this approach we show that there is no problem with formulating integration on κMinkowski 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 κMinkowski space that is equivalent to a commutative one on a usual Minkowski space. We also discuss the interacting ϕ^{4} scalar field model compatible with κPoincaréHopf algebra.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 August 2015
 DOI:
 10.1088/17426596/634/1/012005
 arXiv:
 arXiv:1506.02475
 Bibcode:
 2015JPhCS.634a2005J
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages, accepted for publication in the Proceedings of the NCG parallel session of the conference Conceptual and Technical Challenges in Quantum Gravity 2014 to be published in the Journal of Physics Conference Series