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arXiv · 2202.09333

On the complex structure of Yang-Mills theory

Jan Horak·Jan M. Pawlowski·Nicolas Wink
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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.

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Jan Horak, Jan M. Pawlowski, Nicolas Wink. 2022-02-18. On the complex structure of Yang-Mills theory. https://doi.org/10.21468/scipostphyscore.8.3.048

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