Ghost spectral function from the spectral Dyson-Schwinger equation

Abstract

We compute the ghost spectral function in Yang-Mills theory by solving the corresponding Dyson-Schwinger equation for a given input gluon spectral function. The results encompass both scaling and decoupling solutions for the gluon propagator input. The resulting ghost spectral function displays a particle peak at vanishing momentum and a negative scattering spectrum, whose infrared and ultraviolet tails are obtained analytically. The ghost dressing function is computed in the entire complex plane, and its salient features are identified and discussed.

arXiv comment15 pages, 11 figures

References in corpus (57)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Aspects of the Functional Renormalisation Group
• The nonperturbative functional renormalization group and its applications
• Dyson-Schwinger equations: a tool for hadron physics
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Infrared Properties of QCD from Dyson-Schwinger equations
• Baryons as relativistic three-quark bound states
• On the infrared behavior of Landau gauge Yang-Mills theory
• Pinch Technique: Theory and Applications
• Explanation and Prediction of Observables using Continuum Strong QCD
• Fundamentals of the Exact Renormalization Group
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Landau gauge Yang-Mills correlation functions
• Gauge bosons at zero and finite temperature
• On the IR behaviour of the Landau-gauge ghost propagator
• Hybrid Mesons
• Analytic structure of the Landau gauge gluon propagator
• Spectral functions of confined particles
• The glueball spectrum of SU(3) gauge theory in 3+1 dimension
• Reconstructing the gluon
• Källén-Lehmann spectroscopy for (un)physical degrees of freedom
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• Fully coupled functional equations for the quark sector of QCD
• Gluon spectral functions and transport coefficients in Yang--Mills theory
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Correlation functions of Landau gauge Yang-Mills theory
• Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
• Analytic structure of QCD propagators in Minkowski space
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
• Spectral functions in the ${\varphi }^4$-theory from the spectral DSE
• Spectral representation of lattice gluon and ghost propagators at zero temperature
• Spectrum of scalar and pseudoscalar glueballs from functional methods
• The generalised infrared structure of the gluon propagator
• On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
• Gluon confinement, i-particles and BRST soft breaking
• Pseudoscalar glueball mass: a window on three-gluon interactions
• Spin Zero Glueballs in the Bethe-Salpeter Formalism
• The analytic structure of the lattice Landau gauge gluon and ghost propagators
• Complex poles and spectral function of Yang-Mills theory
• Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
• The non-perturbative structure of the photon and gluon propagators
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Three-Point Functions at Finite Temperature
• Reconstructing confined particles with complex singularities
• Analytic Continuation of Thermal $N$-Point Functions from Imaginary- to Real-Energies
• Retarded-Advanced N-point Green Functions in thermal field theories
• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• Reflection positivity and complex analysis of the Yang-Mills theory from a viewpoint of gluon confinement
• n-point functions at finite temperature
• Non-perturbative constraints on the quark and ghost propagators
• Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit
• Four-Point Spectral Functions and Ward Identities in Hot QED
• Finite Temperature Retarded and Advanced Fields

Cited by in corpus (20)

• QCD at finite temperature and density within the fRG approach: An overview
• Gauge Sector Dynamics in QCD
• Reconstructing QCD Spectral Functions with Gaussian Processes
• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Higher spin glueballs from functional methods
• Non-perturbative strong coupling at timelike momenta
• Real-time dynamics of the $O(4)$ scalar theory within the fRG approach
• Real-time methods for spectral functions
• An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds
• On the quark spectral function in QCD
• Yang-Mills glueball masses from spectral reconstruction
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• Spectral Functions of Gauge Theories with Banks-Zaks Fixed Points
• The analytic structure of three-point functions from contour deformations
• On the complex structure of Yang-Mills theory
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Patterns of gauge symmetry in the background field method
• Ghost dynamics from Schwinger-Dyson equations
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator