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Noncommutative Cubic Scalar Field Theory and Tree Level Processes

2018/06/28 by Nikhil Kalyanapuram, Kalyanapuram, Nikhil
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1806.10891

openalex publication_date 2018/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

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