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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


Puni tekst: engleski pdf 108 Kb

str. 187-196

preuzimanja: 76

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Sažetak

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.

Ključne riječi

Hrčak ID:

303089

URI

https://hrcak.srce.hr/303089

Datum izdavanja:

1.9.1994.

Podaci na drugim jezicima: hrvatski

Posjeta: 476 *