English

An Analytic Yang-Mills Vacuum Calculation in $3+1d$

Nuclear Theory 2024-12-16 v6 High Energy Physics - Theory

Abstract

I present a novel analytic framework for SU(N)SU(N) Yang-Mills theory in the four-dimensional continuum. Background and effective field theory techniques are used to include non-perturbative contributions from cubic and quartic interactions. This approach is inspired by Savvidy who claims first-order contributions from quartic interactions stabilize IR divergence found at one-loop order, making possible IR finite Yang-Mills calculations. I assess the validity of this claim and discuss the implications of my findings.

Keywords

Cite

@article{arxiv.2407.13042,
  title  = {An Analytic Yang-Mills Vacuum Calculation in $3+1d$},
  author = {Seth Grable},
  journal= {arXiv preprint arXiv:2407.13042},
  year   = {2024}
}
R2 v1 2026-06-28T17:45:15.913Z