Bayesian analysis of quark spectral properties from the Dyson-Schwinger equation

Abstract

We report results on the quark spectral function in the Landau gauge at finite temperature determined from its Dyson-Schwinger equation. Compared to earlier quenched results this study encompasses unquenched $N_f=2+1$ fermion flavors in the medium. For the reconstruction of real-time spectra we deploy a recent Bayesian approach (BR method) and develop a new prior in order to better assess the inherent systematic uncertainties. We identify the quark quasi-particle spectrum and analyze the (non-)appearance of zero modes at or around the pseudo-critical temperature. In both, the fully unquenched system and a simpler truncation using a model for the gluon propagator we observe a characteristic three-peak structure at zero three-momentum. The temperature dependence of these structures in case of the gluon propagator model is different than observed in previous studies. For the back-coupled and unquenched case we find interesting modifications at and around the pseudo-critical transition temperature.

arXiv comment18 pages, 21 figures

References in corpus (44)

• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Photon and Gluon Emission in Relativistic Plasmas
• Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
• Physics of Strongly coupled Quark-Gluon Plasma
• Results from the Relativistic Heavy Ion Collider
• Phase structure of three and four flavor QCD
• A novel Bayesian approach to spectral function reconstruction
• Charmonium properties in hot quenched lattice QCD
• Analytic structure of the Landau gauge gluon propagator
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Deconfinement phase transition and the quark condensate
• Transport Coefficients in Yang--Mills Theory and QCD
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Real time correlation functions and the functional renormalisation group
• Källén-Lehmann spectroscopy for (un)physical degrees of freedom
• Polyakov loop potential at finite density
• Gluon spectral functions and transport coefficients in Yang--Mills theory
• Baryon effects on the location of QCD's critical end point
• The gluon propagator close to criticality
• Collective fermionic excitations in systems with a large chemical potential
• Real-Time Correlation Functions in the O(N) Model from the Functional Renormalization Group
• Lattice NRQCD study of S- and P-wave bottomonium states in a thermal medium with $N_f=2+1$ light flavors
• Quark Spectral Function and Deconfinement at Nonzero Temperature
• An overview of the experimental study of quark-gluon matter in high-energy nucleus-nucleus collisions
• Quark spectral density and a strongly-coupled QGP
• Flow equations for spectral functions at finite external momenta
• Quark propagator at finite temperature and finite momentum in quenched lattice QCD
• Quark spectral properties above Tc from Dyson-Schwinger equations
• Quark Dispersion Relation and Dilepton Production in the Quark-Gluon Plasma
• Improved Maximum Entropy Analysis with an Extended Search Space
• Quark Spectrum above but near Critical Temperature of Chiral Transition
• Extraction of Spectral Functions from Dyson-Schwinger Studies via the Maximum Entropy Method
• Landau gauge gluon and ghost propagators from lattice QCD with Nf=2 twisted mass fermions at finite temperature
• Bayesian inference of non-positive spectral functions in quantum field theory
• Novel Collective Excitations and the Quasi-Particle Picture of Quarks Coupled with a Massive Boson at Finite Temperature
• Quark Propagation in a Quark-Gluon Plasma with Gluon Condensate
• Spectral properties of quarks above T_c in quenched lattice QCD
• Self-consistent Spectral Functions in the $O(N)$ Model from the FRG
• An overview of experimental results from ultra-relativistic heavy-ion collisions at the CERN LHC: hard probes
• Finite temperature gluon spectral functions from $N_f=2+1+1$ lattice QCD
• Zero mode in a strongly coupled quark gluon plasma
• Quasi-quark spectrum in the chiral symmetric phase from the Schwinger-Dyson equation
• Dilepton production spectrum above Tc with a lattice quark propagator
• Thermal dynamics on the lattice with exponentially improved accuracy

Cited by in corpus (29)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Parton distributions and lattice QCD calculations: toward 3D structure
• Heavy Quarkonium in Extreme Conditions
• Reconstructing the gluon
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Towards the nucleon hadronic tensor from lattice QCD
• Quarkonium in-medium properties from realistic lattice NRQCD
• Spectral and Transport Properties of Quark-Gluon Plasma in a Nonperturbative Approach
• Spectral functions and critical dynamics of the $O(4)$ model from classical-statistical lattice simulations
• Spectral functions and dynamic critical behavior of relativistic $Z_2$ theories
• Vector and Axial-Vector Mesons in Nuclear Matter
• Spectral functions from the real-time functional renormalization group
• Fermionic spectral functions with the Functional Renormalization Group
• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• On the quark spectral function in QCD
• Bayesian inference of real-time dynamics from lattice QCD
• Self-consistent $O(4)$ model spectral functions from analytically continued FRG flows
• Fermionic excitations at finite temperature and density
• Thermalization and dynamical spectral properties in the quark-meson model
• Proton-proton forward scattering at the LHC
• Spectral Functions of Gauge Theories with Banks-Zaks Fixed Points
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Estimates of the dynamic structure factor for the finite temperature electron liquid via analytic continuation of path integral Monte Carlo data
• Dual formulation of the maximum entropy method applied to analytic continuation of quantum Monte Carlo data
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• Application of radial basis functions neutral networks in spectral functions
• Extracting topological information from momentum space propagators