Regular Article - Theoretical Physics
Confinement, the gluon propagator and the interquark potential for heavy mesons
Departamento de Fısica Teórica -IFIC, Universidad de Valencia-CSIC, E-46100, Burjassot, Spain
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Accepted: 17 May 2013
Published online: 13 June 2013
The interquark static potential for heavy mesons described by a massive one-gluon exchange interaction obtained from the propagator of the truncated Dyson-Schwinger equations does not reproduced the expected Cornell potential. I show that no formulation based on a finite propagator will lead to confinement of quenched QCD. I propose a mechanism based on a singular nonperturbative coupling constant which has the virtue of giving rise to a finite gluon propagator and (almost) linear confinement. The mechanism can be slightly modified to produce the screened potentials of unquenched QCD.
© SIF, Springer-Verlag Berlin Heidelberg, 2013