Renormalization in Wavelet basis
High Energy Physics - Theory
2023-02-21 v3
Abstract
Discrete wavelet-based methods promise to emerge as an excellent framework for the non-perturbative analysis of quantum field theories. In this work, we investigate aspects of renormalization in theories analyzed using wavelet-based methods. We demonstrate the non-perturbative approach of regularization, renormalization, and the emergence of flowing coupling constant within the context of these methods. This is tested on a model of the particle in an attractive Dirac delta function potential in two spatial dimensions, which is known to demonstrate quintessential features found in a typical relativistic quantum field theory.
Cite
@article{arxiv.2212.10934,
title = {Renormalization in Wavelet basis},
author = {Mrinmoy Basak and Raghunath Ratabole},
journal= {arXiv preprint arXiv:2212.10934},
year = {2023}
}