English

Noncommutative Cubic Scalar Field Theory and Tree Level Processes

High Energy Physics - Theory 2018-06-29 v1

Abstract

In this paper, we study the corrections to tree level scattering that arise due to noncommutative deformations of cubic scalar field theory through implementation of the Groenewald-Moyal(GM) product. The additional noncommutative refinement as we shall see, supplies nontrivial corrections to scattering even at the tree level. The amplitudes for 2 -> 2 scattering are computed and elucidated. Finally, we also consider the possibility of a localized noncommutativity parameter and the possible consequences of introducing position dependence in spacetime noncommutativity

Keywords

Cite

@article{arxiv.1806.10891,
  title  = {Noncommutative Cubic Scalar Field Theory and Tree Level Processes},
  author = {Nikhil Kalyanapuram},
  journal= {arXiv preprint arXiv:1806.10891},
  year   = {2018}
}

Comments

7 pages

R2 v1 2026-06-23T02:44:39.563Z