A New Regularization Method in 3-Dimensional Momentum Space

TL;DR

This paper introduces a novel regularization technique in 3-dimensional momentum space for divergent integrals, providing results equivalent to dimensional regularization but with separate real and imaginary parts.

Contribution

A new regularization method in 3D momentum space that isolates real and imaginary parts, simplifying calculations compared to traditional dimensional regularization.

Findings

Method yields the same results as dimensional regularization.

Separates real and imaginary parts of integrals.

Applicable to one-loop divergent integrals.

Abstract

We propose a new method to calculate the 4-dimensional divergent integrals. By calculating the one loop integral as an example, the regularization of the integrals in 3-dimension momentum space are given in details. We find that the new method gives the same results as the traditional dimensional regularization method gives, but the new method has the advantage that it gives the real and the imaginary part separately.