Quantum field theory in generalised Snyder spaces
High Energy Physics - Theory
2017-04-05 v1
Abstract
We discuss the generalisation of the Snyder model that includes all possible deformations of the Heisenberg algebra compatible with Lorentz invariance and investigate its properties. We calculate peturbatively the law of addition of momenta and the star product in the general case. We also undertake the construction of a scalar field theory on these noncommutative spaces showing that the free theory is equivalent to the commutative one, like in other models of noncommutative QFT.
Cite
@article{arxiv.1701.05862,
title = {Quantum field theory in generalised Snyder spaces},
author = {S. Meljanac and D. Meljanac and S. Mignemi and R. Strajn},
journal= {arXiv preprint arXiv:1701.05862},
year = {2017}
}
Comments
12 pages. arXiv admin note: substantial text overlap with arXiv:1608.06207