On the complex structure of Yang-Mills theory
High Energy Physics - Theory
2025-07-09 v4 High Energy Physics - Phenomenology
Abstract
We consider the coupled set of spectral Dyson-Schwinger equations in Yang-Mills theory for ghost and gluon propagators, which gives us access to the ghost and gluon spectral functions. The set-up is used for a systematic analytic evaluation of the constraints on generalised spectral representations in Yang-Mills theory that are most relevant for informed spectral reconstructions. We also provide numerical results for the coupled set of spectral functions for a large range of potential mass gaps of the gluon, and discuss the limitations and extensions of the present work.
Cite
@article{arxiv.2202.09333,
title = {On the complex structure of Yang-Mills theory},
author = {Jan Horak and Jan M. Pawlowski and Nicolas Wink},
journal= {arXiv preprint arXiv:2202.09333},
year = {2025}
}
Comments
31 pages, 16 figures