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RESEARCH PRODUCT

On the Pauli-Villars regularisation scheme in the NJL model

Martin LavelleDavid E. Kahana

subject

QuarkPhysicsNuclear and High Energy PhysicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyNuclear TheoryStrong interactionElementary particleCovariancesymbols.namesakePauli exclusion principleRegularization (physics)Quantum electrodynamicssymbolsApplied mathematicsCutoffGauge theory

description

Abstract We consider the Nambu-Jona-Lasinio model with a Pauli-Villars cutoff. We point out that previous attempts to use this regularisation have not been consistent and it is shown that if used correctly this approach yields very reasonable values for the cutoff parameter and quark condensate when we demand that ƒπ is fixed to its experimental value. Finally it is argued that because of its covariance and smooth nature this regularisation scheme has significant advantages over other regulators on the market.

https://doi.org/10.1016/0370-2693(93)91839-f