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arXiv · 2212.10934

Renormalization in Wavelet basis

Mrinmoy Basak·Raghunath Ratabole
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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.

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Mrinmoy Basak, Raghunath Ratabole. 2022-12-21. Renormalization in Wavelet basis. https://doi.org/10.1103/physrevd.107.036015

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