Systematic Analytic Regularization in $\varphi^4$ and Yukawa Theories
High Energy Physics - Theory
2026-04-20 v1 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We introduce a novel regularization scheme: Systematic Analytic Regularization (SAR). SAR regularizes a theory at the level of the action by analytically continuing the power of the kinetic operator, ensuring that the theory is formally finite before any terms in the Dyson series are evaluated. We demonstrate that SAR fully and self-consistently regularizes and Yukawa theories at NLO.
Cite
@article{arxiv.2604.15429,
title = {Systematic Analytic Regularization in $\varphi^4$ and Yukawa Theories},
author = {Jarryd Bath and W. A. Horowitz},
journal= {arXiv preprint arXiv:2604.15429},
year = {2026}
}
Comments
16 pages