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Title: Symmetry-preserving contact interaction model for heavy-light mesons

Abstract

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 π 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 the Ward-Green-Takahashi identities reflecting global symmetries of the model are satisfied for arbitrary routing of the momenta running in loop integrals.

Authors:
; ;  [1];  [2]
  1. Instituto de Física Teórica, Universidade Estadual Paulista (Brazil)
  2. (Brazil)
Publication Date:
OSTI Identifier:
22499103
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1701; Journal Issue: 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BETHE-SALPETER EQUATION; BOUND STATE; EVALUATION; INTERACTIONS; KAONS; KERNELS; PROPAGATOR; QUANTUM CHROMODYNAMICS; ROUTING; S QUARKS; SYMMETRY BREAKING; ULTRAVIOLET DIVERGENCES; VECTORS

Citation Formats

Serna, F. E., Brito, M. A., Krein, G., and Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070 São Paulo, SP. Symmetry-preserving contact interaction model for heavy-light mesons. United States: N. p., 2016. Web. doi:10.1063/1.4938727.
Serna, F. E., Brito, M. A., Krein, G., & Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070 São Paulo, SP. Symmetry-preserving contact interaction model for heavy-light mesons. United States. doi:10.1063/1.4938727.
Serna, F. E., Brito, M. A., Krein, G., and Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070 São Paulo, SP. Fri . "Symmetry-preserving contact interaction model for heavy-light mesons". United States. doi:10.1063/1.4938727.
@article{osti_22499103,
title = {Symmetry-preserving contact interaction model for heavy-light mesons},
author = {Serna, F. E. and Brito, M. A. and Krein, G. and Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070 São Paulo, SP},
abstractNote = {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 π 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 the Ward-Green-Takahashi identities reflecting global symmetries of the model are satisfied for arbitrary routing of the momenta running in loop integrals.},
doi = {10.1063/1.4938727},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1701,
place = {United States},
year = {Fri Jan 22 00:00:00 EST 2016},
month = {Fri Jan 22 00:00:00 EST 2016}
}