On inserter regularization method

TL;DR

The paper introduces the inserter regularization method for handling divergences in quantum field theory graphs, demonstrating its effectiveness in $$ theory, QED, and SUSY models while preserving supersymmetry.

Contribution

A new inserter regularization method is proposed, providing a consistent way to regulate divergent graphs in quantum field theories.

Findings

Successfully applied to $$ theory and QED at one loop.

Preserves supersymmetry manifestly in SUSY models.

Offers a new approach to regularization in quantum field theory.

Abstract

There exist certain intrinsic relations between the ultraviolet divergent graphs and the convergent ones at the same loop order in renormalizable quantum field theories. Whereupon we present a new method, the inserter regularization method, to regulate those divergent graphs. In this letter, we demonstrate this method with the $\phi^4$ theory and QED at the one loop order. Some applications to SUSY-models are also made at the one loop order, which shows that supersymmetry is preserved manifestly and consistently.