Symmetry-preserving contact interaction model for heavy-light mesons

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Serna, F. E. [UNESP]
Brito, M. A. [UNESP]
Krein, G. [UNESP]
Andrianov, A.
Brambilla, N.
Kim, V
Kolevatov, S.

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Amer Inst Physics


We use a symmetry-preserving regularization method of ultraviolet divergences in a vector-vector contact interaction model for low-energy QCD. The contact interaction is a representation of nonperturbative kernels used Dyson-Schwinger and Bethe-Salpeter equations. The regularization method is based on a subtraction scheme that avoids standard steps in the evaluation of divergent integrals that invariably lead to symmetry violation. Aiming at the study of heavy-light mesons, we have implemented the method to the pseudoscalar pi and K mesons. We have solved the Dyson-Schwinger equation for the u, d and s quark propagators, and obtained the bound-state Bethe-Salpeter amplitudes in a way that theWard-Green-Takahashi identities reflecting global symmetries of the model are satisfied for arbitrary routing of the momenta running in loop integrals.



Regularization of ultraviolet divergences, Ward-Green-Takahashi identities, Dyson-Schwinger and Bethe-Salpeter equations

Como citar

Xith Conference On Quark Confinement And Hadron Spectrum. Melville: Amer Inst Physics, v. 1701, 7 p., 2016.