• Open Access

Practical scheme from QCD to phenomena via Dyson-Schwinger equations

Can Tang, Fei Gao, and Yu-xin Liu
Phys. Rev. D 100, 056001 – Published 3 September 2019

Abstract

We deliver a scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the gluon propagator and the running coupling function fitted by the solutions of their respective DSEs. We obtain the momentum and current mass dependence of the quark propagator and the quark-gluon vertex, and the chiral quark condensate that agrees with previous results excellently. We also compute the quark-photon vertex within this scheme and give the anomalous chromo- and electromagnetic moment of the quark. The obtained results are excellently consistent with previous ones. These applications manifest that the scheme is realistic and then practical for explaining the QCD-related phenomena.

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  • Received 11 February 2019
  • Revised 21 May 2019

DOI:https://doi.org/10.1103/PhysRevD.100.056001

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Can Tang1,2, Fei Gao3, and Yu-xin Liu1,2,4,*

  • 1Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
  • 2Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
  • 3Department of Theoretical Physics and IFIC, University of Valencia and CSIC, E-46100 Valencia, Spain
  • 4Center for High Energy Physics, Peking University, Beijing 100871, China

  • *yxliu@pku.edu.cn

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Issue

Vol. 100, Iss. 5 — 1 September 2019

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