We determine the gluonic spectral function $SU(3)$ Yang-Mills theory as well as we found fermionic spectral functions in the strong quenched QED where we found a novel solution. Our developed technique provides solutions with the usual branch cut for propagators while not showing any pole structure at the first Riemann sheet (identical with entire complex plane) of the complex square of momentum. Implications and further utilization are briefly addressed for QCD and Standard model calculations.

• Received 2 May 2022
• Accepted 27 September 2022

DOI:https://doi.org/10.1103/PhysRevD.106.094022

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Published by the American Physical Society