Gauging non - local quark models ⋆

Abstract

– Non-local regulators arise naturally in several approaches to low-energy quark dynamics, such as the instanton-liquid model [1] or Schwinger-Dyson calculations [2], presented at this Workshop by Dubravko Klabučar. For the derivations and applications of non-local quark models see, e.g.,[3,4,5,6,7,8,9,10]. Hence, we have to cope with non-localities from the outset. – Non-local interactions regularize the theory in such a way that the anomalies are preserved [8,11] and charges are properly quantized. Recall that with other methods, such as the proper-time regularization or the quark-loop momentum cut-off [12,13] the preservation of the anomalies can only be achieved if the (finite) anomalous part of the action is left unregularized, and only the non-anomalous part is regularized. If both parts are regularized, anomalies are violated badly [14]. We consider such division rather artificial and find it quite appealing that with non-local regulators both parts of the action are treated on equal footing. – With non-local interactions the effective action is finite to all orders in the loop expansion. In particular, meson loops are finite and there is no need to introduce another cut-off, as was necessary in the case of local interactions [15,16,17]. As the result, the model has more predictive power.

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Cite this paper

@inproceedings{Broniowski1999GaugingN, title={Gauging non - local quark models ⋆}, author={Wojciech Broniowski and Bojan Golli and Georges Ripka}, year={1999} }