MOMENTUM-INDEPENDENT RENORMALIZATION OF THE SCHWINGER-DYSON EQUATIONWITH AN INSTANTANEOUS-INTERACTION KERNEL

[摘要] We consider the problem of renormalization of the Schwinger-Dyson equation, encounteredwhen the interquark interaction kernel is modeled by an instantaneous potential. Moreprecisely, the Coulomb potential, needed for describing the short-distance part of thegluon exchange, leads to ultraviolet divergences in the Schwinger-Dyson equation. Thestandard prescription which has been used up till now to subtract these divergences,suffers from a serious conceptual problem: it is not momentum independent. In this work wepropose a new and momentum-independent renormalization prescription, and take special careto preserve the correct chiral limit for light pseudoscalar mesons.

[学科分类] 物理（综合）