Renormalization of two-loop diagrams in scalar lattice field theory

TL;DR

This paper introduces a high-precision method for calculating divergence coefficients in two-loop diagrams of scalar lattice field theory, utilizing coordinate space techniques and known Green's functions.

Contribution

It develops a novel coordinate space approach for accurately computing divergence coefficients in two-loop lattice scalar field theory diagrams.

Findings

Achieved high-precision divergence coefficient calculations.

Demonstrated effectiveness of coordinate space techniques.

Enhanced understanding of two-loop divergence structures.

Abstract

We present a method to calculate to very high precision the coefficients of the divergences occuring in two-loop diagrams for a massive scalar field on the lattice. The approach is based on coordinate space techniques and extensive use of the precisely known Green's function.