On the complex structure of Yang-Mills theory

Abstract:

We consider the coupled set of spectral Dyson-Schwinger equations in Yang-Mills theory for ghost and gluon propagators. Within this set-up, we perform a systematic analytic evaluation of the constraints on generalised spectral representations in Yang-Mills theory that are most relevant for informed spectral reconstructions. Furthermore, we provide numerical results for the coupled set of ghost and gluon spectral functions for a range of potential mass gaps of the gluon, while allowing for small violations of the spectral representation. The analyses are accompanied by thorough discussion of the limitations and extensions of the present work.

J. Horak, J. M. Pawlowski, N. Wink, „On the complex structure of Yang-Mills theory“, SciPost
Phys. Core 8, 048 (2025).

https://scipost.org/10.21468/SciPostPhysCore.8.3.048

Related to Project A02, C06