SciPost Physics

SciPost Phys. 5, 065 (2018) · published 20 December 2018

• doi: 10.21468/SciPostPhys.5.6.065
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Abstract

We reconstruct the gluon spectral function in Landau gauge QCD from numerical data for the gluon propagator. The reconstruction relies on two novel ingredients: Firstly we derive analytically the low frequency asymptotics of the spectral function. Secondly we construct a functional basis from a careful consideration of the analytic properties of the gluon propagator in Landau gauge. This allows us to reliably capture the non-perturbative regime of the gluon spectrum. We also compare different reconstruction methods and discuss the respective systematic errors.

• Kaptari et al., Modeling the gluon and ghost propagators in Landau gauge by truncated Dyson-Schwinger equations
  Eur. Phys. J. Plus 134, 383 (2019) [Crossref]
• Alkofer et al., Bound state properties from the functional renormalization group
  Phys. Rev. D 99, 054029 (2019) [Crossref]
• Horak et al., Reconstructing QCD spectral functions with Gaussian processes
  Phys. Rev. D 105, 036014 (2022) [Crossref]
• He et al., High-energy nuclear physics meets machine learning
  NUCL SCI TECH 34, 88 (2023) [Crossref]
• Loveridge et al., Schwinger function, confinement, and positivity violation in pure gauge QED
  Phys. Rev. D 106, L011502 (2022) [Crossref]
• Kades et al., Spectral reconstruction with deep neural networks
  Phys. Rev. D 102, 096001 (2020) [Crossref]
• Pawlowski et al., Quantum Gravity: A Fluctuating Point of View
  Front. Phys. 8, 551848 (2021) [Crossref]
• Tripolt et al., Fermionic excitations at finite temperature and density
  Phys. Rev. D 101, 094010 (2020) [Crossref]
• Lechien et al., Neural network approach to reconstructing spectral functions and complex poles of confined particles
  SciPost Phys. 13, 097 (2022) [Crossref]
• Horak et al., Nonperturbative strong coupling at timelike momenta
  Phys. Rev. D 107, 076019 (2023) [Crossref]
• Tripolt et al., Vector and axial-vector mesons in nuclear matter
  Phys. Rev. D 104, 054005 (2021) [Crossref]
• Bonanno et al., Critical Reflections on Asymptotically Safe Gravity
  Front. Phys. 8, 269 (2020) [Crossref]
• Ferreira et al., Gauge Sector Dynamics in QCD
  Particles 6, 312 (2023) [Crossref]
• Aguilar et al., Infrared facets of the three-gluon vertex
  Physics Letters B 818, 136352 136352 (2021) [Crossref]
• Fu, QCD at finite temperature and density within the fRG approach: an overview
  Commun. Theor. Phys. 74, 097304 (2022) [Crossref]
• Horak et al., On the quark spectral function in QCD
  SciPost Phys. 15, 149 (2023) [Crossref]
• Tan et al., Real-time dynamics of the $O(4)$ scalar theory within the fRG approach
  SciPost Phys. 12, 026 (2022) [Crossref]
• Hayashi et al., Reconstructing confined particles with complex singularities
  Phys. Rev. D 103, L111504 (2021) [Crossref]
• Dudal et al., Källén–Lehmann spectral representation of the scalar SU(2) glueball
  Eur. Phys. J. C 82, 251 (2022) [Crossref]
• Hayashi et al., Complex poles and spectral function of Yang-Mills theory
  Phys. Rev. D 99, 074001 (2019) [Crossref]
• Pastor-Gutiérrez et al., The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
  SciPost Phys. 15, 105 (2023) [Crossref]
• Kluth et al., Spectral functions of gauge theories with Banks-Zaks fixed points
  Phys. Rev. D 107, 025011 (2023) [Crossref]
• Huber et al., Analytic structure of three-point functions from contour deformations
  Phys. Rev. D 107, 074026 (2023) [Crossref]
• Li et al., The generalised infrared structure of the gluon propagator
  Physics Letters B 803, 135329 135329 (2020) [Crossref]
• Dudal et al., Spectral representation of lattice gluon and ghost propagators at zero temperature
  Nuclear Physics B 952, 114912 114912 (2020) [Crossref]
• Aguilar et al., Gluon propagator and three-gluon vertex with dynamical quarks
  Eur. Phys. J. C 80, 154 (2020) [Crossref]
• Papavassiliou, Emergence of mass in the gauge sector of QCD*
  Chinese Phys. C 46, 112001 (2022) [Crossref]
• Rothkopf, Bayesian inference of real-time dynamics from lattice QCD
  Front. Phys. 10, 1028995 (2022) [Crossref]
• Justo et al., Toward background field independence within the Gribov horizon
  Phys. Rev. D 106, 025015 (2022) [Crossref]
• Aguilar et al., Gluon dynamics from an ordinary differential equation
  Eur. Phys. J. C 81, 54 (2021) [Crossref]
• Dudal et al., The BRST-invariant vacuum state of the Gribov–Zwanziger theory
  Eur. Phys. J. C 79, 731 (2019) [Crossref]
• Fu et al., QCD phase structure at finite temperature and density
  Phys. Rev. D 101, 054032 (2020) [Crossref]
• Bonanno et al., Reconstructing the graviton
  SciPost Phys. 12, 001 (2022) [Crossref]
• Kondo et al., Reflection positivity and complex analysis of the Yang–Mills theory from a viewpoint of gluon confinement
  Eur. Phys. J. C 80, 84 (2020) [Crossref]
• Siringo et al., Analytic continuation and physical content of the gluon propagator
  Phys. Rev. D 107, 096001 (2023) [Crossref]
• Hayashi et al., Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
  Phys. Rev. D 101, 074044 (2020) [Crossref]
• Šauli, Gauge technique approximation to the πγ production and the pion transition form factor
  Phys. Rev. D 102, 014049 (2020) [Crossref]
• Aguilar et al., Novel sum rules for the three-point sector of QCD
  Eur. Phys. J. C 80, 887 (2020) [Crossref]
• Rothkopf, Heavy quarkonium in extreme conditions
  Physics Reports 858, 1 (2020) [Crossref]
• Bala et al., Static quark-antiquark interactions at nonzero temperature from lattice QCD
  Phys. Rev. D 105, 054513 (2022) [Crossref]
• Pinto-Gómez et al., Lattice three-gluon vertex in extended kinematics: Planar degeneracy
  Physics Letters B 838, 137737 137737 (2023) [Crossref]
• Aguilar et al., Gluon mass scale through nonlinearities and vertex interplay
  Phys. Rev. D 100, 094039 (2019) [Crossref]
• Falcão et al., Analytic structure of the Landau gauge quark propagator from Padé analysis
  Phys. Rev. D 106, 114022 (2022) [Crossref]
• Huber et al., Spectrum of scalar and pseudoscalar glueballs from functional methods
  Eur. Phys. J. C 80, 1077 (2020) [Crossref]
• Wen et al., Baryon number fluctuations in the 2+1 flavor low energy effective model
  Phys. Rev. D 99, 094019 (2019) [Crossref]
• Binosi et al., Spectral functions of confined particles
  Physics Letters B 801, 135171 135171 (2020) [Crossref]
• Hayashi et al., Reconstructing propagators of confined particles in the presence of complex singularities
  Phys. Rev. D 104, 074024 (2021) [Crossref]
• Kern et al., Spectral dimension as a tool for analyzing nonperturbative propagators
  Phys. Rev. D 100, 094037 (2019) [Crossref]
• Aguilar et al., Ghost dynamics in the soft gluon limit
  Phys. Rev. D 104, 054028 (2021) [Crossref]
• Horak et al., Spectral functions in the ϕ4 -theory from the spectral Dyson-Schwinger equations
  Phys. Rev. D 102, 125016 (2020) [Crossref]
• Dupuis et al., The nonperturbative functional renormalization group and its applications
  Physics Reports 910, 1 (2021) [Crossref]
• Pawlowski et al., Yang-Mills glueball masses from spectral reconstruction
  Phys. Rev. D 108, 076018 (2023) [Crossref]
• Bluhm et al., Dynamics of critical fluctuations: Theory – phenomenology – heavy-ion collisions
  Nuclear Physics A 1003, 122016 122016 (2020) [Crossref]
• Horak et al., Ghost spectral function from the spectral Dyson-Schwinger equation
  Phys. Rev. D 104, 074017 (2021) [Crossref]
• Chen et al., Spectrum and structure of octet and decuplet baryons and their positive-parity excitations
  Phys. Rev. D 100, 054009 (2019) [Crossref]
• Fischer et al., Landau gauge Yang-Mills propagators in the complex momentum plane
  Phys. Rev. D 102, 094005 (2020) [Crossref]
• Aguilar et al., Exploring smoking-gun signals of the Schwinger mechanism in QCD
  Phys. Rev. D 105, 014030 (2022) [Crossref]
• Canfora et al., Extracting topological information from momentum space propagators
  Eur. Phys. J. C 79, 837 (2019) [Crossref]
• Aguilar et al., Patterns of gauge symmetry in the background field method
  Eur. Phys. J. C 83, 86 (2023) [Crossref]
• Fehre et al., Lorentzian Quantum Gravity and the Graviton Spectral Function
  Phys. Rev. Lett. 130, 081501 (2023) [Crossref]
• Zhou et al., Application of radial basis functions neutral networks in spectral functions
  Phys. Rev. D 104, 076011 (2021) [Crossref]
• Braun et al., Renormalised spectral flows
  SciPost Phys. Core 6, 061 (2023) [Crossref]