Quantum equation of motion and two-loop cutoff renormalization for $\phi^3$ model

TL;DR

This paper develops a two-loop renormalization approach for the $b3$ model using background field and cutoff regularization, deriving quantum equations of motion and applying them to renormalization.

Contribution

It introduces a novel two-loop renormalization technique for the $b3$ model with a focus on quantum equations of motion and cutoff regularization methods.

Findings

Successful derivation of two-loop effective action renormalization.

Application of quantum equations of motion to renormalization process.

Enhanced understanding of cutoff regularization in quantum field theory.

Abstract

We present two-loop renormalization of $\phi^3$-model effective action by using the background field method and cutoff momentum regularization. In this paper, we also study a derivation of the quantum equation of motion and its application to the renormalization.