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

2024/07/17 by Seth Grable, Grable, Seth
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2407.13042

openalex publication_date 2024/07/17 · openalex created_date 2024/10/01 · openalex updated_date 2026/07/30

Abstract

I present a novel analytic framework for 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.

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