Mapping theorem and Green functions in Yang-Mills theory

TL;DR

This paper demonstrates how a recently proven mapping theorem allows for deriving two-point functions and the spectrum of Yang-Mills theory from scalar field theory, with results aligning well with lattice computations.

Contribution

It introduces a method to obtain Yang-Mills two-point functions and spectrum using a mapping theorem from scalar field theory, providing new analytical insights.

Findings

Two-point functions of Yang-Mills theory derived from scalar theory

Spectrum of Yang-Mills theory obtained via the mapping theorem

Results agree well with lattice computations

Abstract

It is shown how, starting from a mapping theorem recently proved between massless quartic scalar field theory and Yang-Mills theory, both two-point functions and spectrum of the Yang-Mills theory can be obtained. These results compare very well with respect to lattice computations.