FIZIKA B 3 (1994) 3, 187-196

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

DUBRAVKO KLABUČAR^*, RAUL HORVAT, DALIBOR KEKEZ and DAVOR PALLE
^*Physics Department, Faculty of Science, Zagreb University, P.O.B. 162, 41001 Zagreb, Croatia
Ruđer Bošković Institute, P.O.B. 1016, 41001 Zagreb, Croatia

Received 18 November 1994

We consider the problem of renormalization of the Schwinger-Dyson equation, encountered when the interquark interaction kernel is modeled by an instantaneous potential. More precisely, the Coulomb potential, needed for describing the short-distance part of the gluon exchange, leads to ultraviolet divergences in the Schwinger-Dyson equation. The standard 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 we propose a new and momentum-independent renormalization prescription, and take special care to preserve the correct chiral limit for light pseudoscalar mesons.

UDC 539.12.01
PACS 12.38.Bx, 11.10.Gh

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