Quark-gluon vertex from the Landau gauge Curci-Ferrari model

Marcela Peláez, Matthieu Tissier, and Nicolás Wschebor
Phys. Rev. D 92, 045012 – Published 11 August 2015
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Abstract

We investigate the quark-gluon three-point correlation function within a one-loop computation performed in the Curci-Ferrari massive extension of the Faddeev-Popov gauge-fixed action. The mass term is used as a minimal way for taking into account the influence of the Gribov ambiguity. Our results, with renormalization-group improvement, are compared with lattice data. We show that the comparison is, in general, very satisfactory for the functions which are compatible with chiral symmetry, except for one. We argue that this may be due to large systematic errors when extracting this function from lattice simulations. The quantities which break chiral symmetry are more sensitive to the details of the renormalization scheme. We, however, manage to reproduce some of them with good precision. The chosen parameters allow us to simultaneously fit the quark mass function coming from the quark propagator with reasonable agreement.

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  • Received 20 April 2015

DOI:https://doi.org/10.1103/PhysRevD.92.045012

© 2015 American Physical Society

Authors & Affiliations

Marcela Peláez1,2, Matthieu Tissier1, and Nicolás Wschebor2

  • 1Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, boîte 121, 4 place Jussieu, 75252 Paris Cedex 05, France
  • 2Instituto de Física, Facultad de Ingeniería, Universidad de la República, J. H. y Reissig 565, 11000 Montevideo, Uruguay

See Also

Three-point correlation functions in Yang-Mills theory

Marcela Peláez, Matthieu Tissier, and Nicolás Wschebor
Phys. Rev. D 88, 125003 (2013)

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Vol. 92, Iss. 4 — 15 August 2015

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