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On the quark-gluon vertex and quark-ghost kernel: combining lattice simulations with Dyson-Schwinger equations

Rojas, E. Y de Melo, J.P.B.C. Y El-Bennich, B. Y Oliveira, O. Y Frederico, T. (2013) On the quark-gluon vertex and quark-ghost kernel: combining lattice simulations with Dyson-Schwinger equations. Journal of High Energy Physics, 2013 (10). pp. 1-32. ISSN 1029-8479

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URL Oficial: https://doi.org/10.1007/JHEP10(2013)193

Resumen

We investigate the dressed quark-gluon vertex combining two established nonperturbative approaches to QCD: the Dyson-Schwinger equation (DSE) for the quark propagator and lattice-regularized simulations for the quark, gluon and ghost propagators. The vertex is modeled using a generalized Ball-Chiu ansatz parameterized by a single form actor X̃_0 which effectively represents the quark-ghost scattering kernel. The solution space of the DSE inversion for X̃_0 is highly degenerate, which can be dealt with by a numerical regularization scheme. We consider two possibilities: (i) linear regularization and (ii) the Maximum Entropy Method. These two numerical approaches yield compatible X̃_0 functions for the range of momenta where lattice data is available and feature a strong enhancement of the generalized Ball-Chiu vertex for momenta below 1 GeV. Our ansatz for the quark-gluon vertex is then used to solve the quark Dyson-Schwinger equation which yields a mass function in good agreement with lattice simulations and thus provides adequate dynamical chiral symmetry breaking.

Tipo de Elemento: Artículo
Asunto: Q Ciencias > QC Physics
Division: Facultad de Ciencias Exactas y Naturales > Programa de Física > Productividad
Depósito de Usuario: Prof. Eduardo Rojas
Fecha Deposito: 26 Sep 2018 13:52
Ultima Modificación: 26 Sep 2018 13:52
URI: http://sired.udenar.edu.co/id/eprint/5086

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