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  • Open Access

Locating the Gribov horizon

Fei Gao, Si-Xue Qin, Craig D. Roberts, and Jose Rodríguez-Quintero
Phys. Rev. D 97, 034010 – Published 8 February 2018
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  • INTRODUCTION
  • PARTONIC CONSTRAINTS
  • INTERPRETING LATTICE-QCD RESULTS
  • GRIBOV HORIZON PARAMETER
  • CONCLUSION
  • ACKNOWLEDGMENTS
  • APPENDICES
    • References

    Abstract

    We explore whether a tree-level expression for the gluon two-point function, supposed to express effects of an horizon term introduced to eliminate the Gribov ambiguity, is consistent with the propagator obtained in simulations of lattice-regularized quantum chromodynamics (QCD). In doing so, we insist that the gluon two-point function obey constraints that ensure a minimal level of consistency with parton-like behavior on the ultraviolet domain. In consequence, we are led to a position which supports a conjecture that the gluon mass and horizon scale are equivalent emergent mass-scales, each with a value of roughly 0.5 GeV; and wherefrom it appears plausible that the dynamical generation of a running gluon mass may alone be sufficient to remove the Gribov ambiguity.

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    • Received 14 June 2017

    DOI:https://doi.org/10.1103/PhysRevD.97.034010

    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)

    1. Research Areas
    Color confinementStrong interaction
    1. Physical Systems
    Gauge theoriesGluons
    1. Properties
    MassQuantum field theory
    Particles & Fields

    Authors & Affiliations

    Fei Gao1, Si-Xue Qin2, Craig D. Roberts3, and Jose Rodríguez-Quintero4

    • 1Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
    • 2Department of Physics, Chongqing University, Chongqing 401331, People’s Republic of China
    • 3Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
    • 4Departamento de Física Aplicada, Facultad de Ciencias Experimentales, Universidad de Huelva, Huelva E-21071, Spain

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    Issue

    Vol. 97, Iss. 3 — 1 February 2018

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    • Figure 1
      Figure 1

      Upper panel—(a). Fit to quenched lattice results [23], determined as described in connection with Eqs. (15): dotted (brown) curve—row 1 of Table 1, unconstrained, unbounded fit; dot-dashed (green) curve—row 2, Table 1, unconstrained, bounded fit; dashed (blue) curve—row 3, satisfying the weak condition for partonic behavior, Eq. (12); and solid (black) curve—row 4, strong condition, Eq. (14). Lower panel—(b). As upper panel, but for unquenched results (Nf=4) [43]. (The curves and points associated with the unconstrained fits have been rescaled by (1/1.1)2. This eliminates an offset from the constrained results owing to the small difference in optimal scales: ζ0=1.1  GeV cf. ζ0=1.0  GeV.)

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    • Figure 2
      Figure 2

      Upper panel—(a). Dot-dashed (purple) curve fit to quenched lattice results [23], obtained as described in connection with Eqs. (15), imposing Eq. (14) and mγ=mg. (Best-fit coefficients in Table. 1.) Solid (black) curve, for comparison, the μ=λ curve from Fig. 1. Lower panel—(b). Same as upper panel, but for unquenched results (Nf=4) [43].

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    • Figure 3
      Figure 3

      One-dimensional configurations-space duals of the functions in Eqs. (a2): S1, solid (blue) curve; and S2, dashed (green) curve. We used Λ1=1, Λ2=3, in arbitrary units.

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