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Ghost spectral function from the spectral Dyson-Schwinger equation
Physical Review D  (IF5.296),  Pub Date : 2021-10-21, DOI: 10.1103/physrevd.104.074017
Jan Horak, Joannis Papavassiliou, Jan M. Pawlowski, Nicolas Wink

We compute the ghost spectral function in Yang-Mills theory by solving the corresponding Dyson-Schwinger equation for a given input gluon spectral function. The results encompass both scaling and decoupling solutions for the gluon propagator input. The resulting ghost spectral function displays a particle peak at vanishing momentum and a negative scattering spectrum, whose infrared and ultraviolet tails are obtained analytically. The ghost dressing function is computed in the entire complex plane, and its salient features are identified and discussed.