AWe 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.
J. Horak, J. Papavassiliou, J. M. Pawlowski, N. Wink, “Ghost spectral function from the spectral Dyson-Schwinger equation”, Phys. Rev. D 104, 074017 (2021).
Related to Project A02