Krein Regularization of \lambda\phi^4

TL;DR

This paper applies Krein regularization to bb^4 theory, obtaining finite four-point functions and effective coupling constants, offering an alternative regularization approach.

Contribution

It introduces Krein regularization as a method to compute finite four-point functions and effective couplings in bb^4 theory, contrasting with traditional regularization techniques.

Findings

Four-point function computed using Krein regularization is finite.

Effective coupling constant bb_b9 is calculated within this framework.

Krein regularization provides an alternative to conventional regularization methods.

Abstract

We calculate the four-point function in \lambda\phi^4 theory by using Krein regularization and compare our result, which is finite, with the usual result in \lambda\phi^4 theory. The effective coupling constant (\lambda_\mu) is also calculated in this method.