The Snyder-de Sitter Scalar $\varphi^4_{\star}$ Quantum Field Theory in D=2
High Energy Physics - Theory
2022-07-20 v1 Mathematical Physics
math.MP
Abstract
We study the two-dimensional version of a quartic self-interacting quantum scalar field on a curved and noncommutative space (Snyder-de Sitter). We show that the model is renormalizable at the one-loop level and compute the beta functions of the related couplings. The renormalization group flow is then studied numerically, arriving at the conclusion that noncommutative-curved deformations can yield both relevant and irrelevant contributions to the one-loop effective action.
Keywords
Cite
@article{arxiv.2104.00043,
title = {The Snyder-de Sitter Scalar $\varphi^4_{\star}$ Quantum Field Theory in D=2},
author = {S. A. Franchino-Viñas and S. Mignemi},
journal= {arXiv preprint arXiv:2104.00043},
year = {2022}
}
Comments
12 pages, 3 figures