Ghost spectral function from the spectral Dyson-Schwinger equation

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.

Automated summary

The ghost spectral function in Yang-Mills theory is computed by solving the corresponding Dyson-Schwinger equation using a given input gluon spectral function. The results show a particle peak at vanishing momentum and a negative scattering spectrum, with analytically obtained infrared and ultraviolet tails. The ghost dressing function is calculated across the entire complex plane, and its key features are identified and discussed.