Infrared Gluon and Ghost Propagators

Abstract

We derive the form of the infrared gluon propagator by proving a mapping in the infrared of the quantum Yang-Mills and $\lambda {\varphi }^4$ theories. The equivalence is complete at a classical level. But while at a quantum level, the correspondence is spoiled by quantum fluctuations in the ultraviolet limit, we prove that it holds in the infrared where the coupling constant happens to be very large. The infrared propagator is then obtained from the quantum field theory of the scalar field producing a full spectrum. The results are in fully agreement with recent lattice computations. We get a finite propagator at zero momentum, the ghost propagator going to infinity as $1/p^{2+2\kappa }$ with $\kappa =0$.

7 pages, no figure. After proofs correction. To appear in Physics Letters B

References in corpus (10)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Infrared Properties of QCD from Dyson-Schwinger equations
• Large volume behaviour of Yang-Mills propagators
• Strongly coupled quantum field theory
• Green Function Method for Nonlinear Systems
• Green functions and nonlinear systems: Short time expansion
• A strongly perturbed quantum system is a semiclassical system
• Proof of triviality of $\lambda {\varphi }^4$ theory
• Infrared analysis of quantum field theories
• The Strong-Coupling Expansion and the Ultra-local Approximation in Field Theory

Cited by in corpus (59)

• The QCD Running Coupling
• Gauge bosons at zero and finite temperature
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
• Quantum Yang-Mills field theory
• Epsilon expansion for infrared Yang-Mills theory in Landau gauge
• Condition for confinement in non-Abelian gauge theories
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• $\rho$ condensation and physical parameters
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• Instanton liquid properties from lattice QCD
• Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
• Infrared QCD
• Chiral symmetry in the low-energy limit of QCD at finite temperature
• Polyakov loop and gluon quasiparticles: a self-consistent approach to Yang-Mills thermodynamics
• Mass Gap in Infinite Derivative Non-local Higgs: Dyson-Schwinger Approach
• Self-interacting scalar fields at high-temperature
• Confinement in QCD and generic Yang-Mills theories with matter representations
• Differential Dyson-Schwinger equations for quantum chromodynamics
• Strongly Coupled String-inspired Infinite Derivative Non-local Yang-Mills: Diluted Mass Gap
• On a renormalizable class of gauge fixings for the gauge invariant operator $A_{\min }^2$
• Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential
• Gauss' Law and Non-Linear Plane Waves for Yang-Mills Theory
• Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios
• Physical spectrum from confined excitations in a Yang-Mills-inspired toy model
• A multi-scale perturbative approach to SU(2)-Higgs classical dynamics: stability of nonlinear plane waves and bounds of the Higgs field mass
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Glueball spectrum and hadronic processes in low-energy QCD
• Low energy limit of QCD and the emerging of confinement
• Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
• Spontaneous symmetry breakings in the singlet scalar Yukawa model within the auxiliary field method
• Study of a gauge invariant local composite fermionic field
• Some exact Green function solutions for non-linear classical field theories
• Finite temperature corrections to a NLO Nambu-Jona-Lasinio model
• A non-abelian quasi-particle model for gluon plasma
• Dynamical generation of electroweak scale from the conformal sector: A strongly coupled Higgs via the Dyson--Schwinger approach
• Exact solutions for classical Yang-Mills fields
• Nonlinear Schrodinger solitons in massive Yang-Mills theory and partial localization of Dirac matter
• Double non-perturbative gluon exchange: an update on the soft Pomeron contribution to pp scattering
• Screening masses in quenched (2+1)d Yang-Mills theory: universality from dynamics?
• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• Mass gap in non-perturbative quadratic ${\mathcal{R}}^2$ gravity via Dyson-Schwinger
• Non-perturbative quantum Yang--Mills at finite temperature beyond lattice: a Dyson--Schwinger approach
• Gluon Mass Generation from Renormalons and Resurgence
• Quintessence Dark Energy from non-perturbative Higgs-Yang-Mills mass gap
• Elliptically oscillating solutions in Abelian-Higgs model and electromagnetic property
• Non-perturbative Origin of Electroweak Scale via Higgs-portal: Dyson-Schwinger in Conformally Invariant Scalar Sector
• Renormalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance
• Non-perturbative Origin of the Electroweak Scale: RGE in Strongly-coupled Dark Gauge Theories via Dyson-Schwinger
• Running mass of the gluon propagator in the Landau gauge
• Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach