Original scientific paper
Momentum-independent renormalization of the Schwinger-Dyson equation with an instantaneous-interaction kernel
Dubravko Klabučar
; Physics Department, Faculty of Science, Zagreb University, P.O.B. 162, 41001 Zagreb, Croatia
Raul Horvat
; Ruđer Bošković Institute, P.O.B. 1016, 41001 Zagreb, Croatia
Dalibor Kekez
; Ruđer Bošković Institute, P.O.B. 1016, 41001 Zagreb, Croatia
Davor Palle
; Ruđer Bošković Institute, P.O.B. 1016, 41001 Zagreb, Croatia
Abstract
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.
Keywords
Hrčak ID:
303089
URI
Publication date:
1.9.1994.
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