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Study of quark propagator solutions to the Dyson-Schwinger equation in a confining model

1997
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Physical Review D, Particles and fields
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We solve the Dyson--Schwinger equation for the quark propagator in a model with singular infrared behavior for the gluon propagator. We require that the solutions, easily found in configuration space, be tempered distributions and thus have Fourier transforms. This severely limits the boundary conditions that the solutions may satisify. The sign of the dimensionful parameter that characterizes the model gluon propagator can be either positive or negative. If the sign is negative, we find a

doi:10.1103/physrevd.55.2455
fatcat:ayiucqftjnckrcvicly37zscdy