Relating a gluon mass scale to an infrared fixed point in pure gauge QCD

Abstract

We show that in pure gauge QCD (or any pure non-Abelian gauge theory) the condition for the existence of a global minimum of energy with a gluon (gauge boson) mass scale also implies the existence of a fixed point of the $\beta$ function. We argue that the frozen value of the coupling constant found in some solutions of the Schwinger-Dyson equations of QCD can be related to this fixed point. We also discuss how the inclusion of fermions modifies this property.

4 pages, Revtex - Added some clarifying comments and new references

References in corpus (21)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator
• Infrared Behavior of the Gluon Propagator on a Large Volume Lattice
• Gluon Propagator in the Infrared Region
• Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations
• A variational approach to the QCD wave functional:Dynamical mass generation and confinement
• A Lattice Study of the Gluon Propagator in Momentum Space
• First results on the running coupling in QCD with two massless flavours
• Diffraction and the Gluon Mass
• The Gluon Propagator without lattice Gribov copies on a finer lattice
• Perturbative expansions in QCD and analytic properties of alpha_s
• A Consistent Next-to-Leading-Order QCD Calculation of Hadronic Diffractive Scattering
• Preliminary Calculation of ${\alpha }_s$ from Green Functions with Dynamical Quarks
• Dynamical gluon mass corrections in heavy quarkonia decays
• The Laplacian Gauge Gluon Propagator in SU(N_c)
• Relating the Quark and Gluon Condensates Through the QCD Vacuum Energy
• ${\chi }_{c2}\to \rho \rho$ and the $rho$ polarization in massless perturbative QCD: how to test the distribution amplitudes
• Infrared finite solutions for the gluon propagator and the QCD vacuum energy
• Fixed points and vacuum energy of dynamically broken gauge theories

Cited by in corpus (87)

• Pinch Technique: Theory and Applications
• Non-perturbative comparison of QCD effective charges
• Process-independent strong running coupling
• A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
• Gluon mass generation in the PT-BFM scheme
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Running Gluon Mass from Landau Gauge Lattice QCD Propagator
• QCD effective charges from lattice data
• Gluon propagator and three-gluon vertex with dynamical quarks
• Gauge Sector Dynamics in QCD
• The massive analytic invariant charge in QCD
• Power-law running of the effective gluon mass
• Gluon mass generation without seagull divergences
• Massless bound-state excitations and the Schwinger mechanism in QCD
• Gluon screening mass at finite temperature from Landau gauge gluon propagator in lattice QCD
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Renormalization group analysis of the gluon mass equation
• Influence of a dynamical gluon mass in the $pp$ and $\bar{p}p$ forward scattering
• Constraints on the nonuniversal Z^\prime couplings from B\toπK, πK^{\ast} and ρK Decays
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Schwinger mechanism in linear covariant gauges
• Nonperturbative structure of the ghost-gluon kernel
• Parity partners in the baryon resonance spectrum
• Emergence of mass in the gauge sector of QCD
• Gluon mass generation in the massless bound-state formalism
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Gluon mass scale through nonlinearities and vertex interplay
• Some non-renormalization theorems in Curci-Ferrari model
• QCD effective charge and the structure function $F_2$ at small-$x$
• Survival probability of large rapidity gaps in a QCD model with a dynamical infrared mass scale
• Infrared finite ghost propagator in the Feynman gauge
• Infrared Gluon Propagator from lattice QCD: results from large asymmetric lattices
• Chiral symmetry breaking in QCD-like gauge theories with a confining propagator and dynamical gauge boson mass generation
• $\gamma p$ and $\gamma \gamma$ scattering from $\bar{p}p$, $pp$ forward amplitudes in a QCD eikonal model with a dynamical gluon mass
• Infrared Gluon and Ghost Propagator Exponents From Lattice QCD
• Revisiting B\toπK, πK^{\ast} and ρK decays: CP violations and implication for New Physics
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• Planar degeneracy of the three-gluon vertex
• QCD effective charge from the three-gluon vertex of the background-field method
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• The 125 GeV boson: A composite scalar?
• The origin of the first and third generation fermion masses in a technicolor scenario
• Novel sum rules for the three-point sector of QCD
• Gluon dynamics from an ordinary differential equation
• Non-perturbative fixed points and renormalization group improved effective potential
• Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics
• On the dynamical mass generation in confining Yang-Mills theories
• A systematic approach to sketch Bethe-Salpeter equation
• Gluon mass scale through the Schwinger mechanism
• Strength of the Trilinear Higgs Boson Coupling in Technicolor Models
• Spectral Functions of Gauge Theories with Banks-Zaks Fixed Points
• Large Strong Phases and CP Violation in the Annihilation Processes ${\bar{B}}^0\to K^{+}{K}^{-}$, $K^{\ast \pm }{K}^{\mp }$, $K^{\ast +}{K}^{\ast -}$
• Infrared Gluon and Ghost Propagators from Lattice QCD. Results from large asymmetric lattices
• How confinement may affect technicolor?
• On dynamical gluon mass generation
• Infrared degrees of freedom of Yang-Mills theory in the Schroedinger representation
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Implications of Analyticity to Mass Gap, Color Confinement and Infrared Fixed Point in Yang--Mills theory
• Gluon mass and freezing of the QCD coupling
• Anomalous mass dimension of multi-flavor QCD
• Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics: an Update
• Dynamical Symmetry Breaking in a Minimal 3-3-1 Model
• The small $x$ behavior of the gluon structure function from total cross sections
• Scalar bosons in Minimal and Ultraminimal Technicolor: Masses, trilinear couplings and widths
• Soft asymptotics with mass gap
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff
• The gluon mass generation mechanism: a concise primer
• The hybrid meson: new results from the updated mg and alpha_s parameters
• A dynamical gluon mass solution in Mandelstam's approximation
• QCD Approach to B->D πDecays and CP Violation
• $R_{e^{+}{e}^{-}}$ and an effective QCD charge
• Elastic scattering and the proton form factor
• Vacuum energy as a c-function for theories with dynamically generated masses
• Determining wave equations in holographic QCD from Wilsonian renormalization group
• Exploring the Tan contact term in Yang-Mills theory
• Towards a unified viewpoint of Gribov--Zwanziger and Serreau--Tissier gauge fixing
• Charmless $B_c\to VV$ decays in the QCD factorization approach
• New Perspectives for QCD: The Novel Effects of Final-State Interactions and Near-Conformal Effective Couplings
• A dynamical mechanism to explain the top-bottom quark mass hierarchy
• Gauge-invariant and infrared-improved variational analysis of the Yang-Mills vacuum wave functional
• Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories
• QCD fixed points: Banks-Zaks scenario or dynamical gluon mass generation?
• Physics-informed neural networks viewpoint for solving the Dyson-Schwinger equations of quantum electrodynamics
• Gluon Mass Generation from Renormalons and Resurgence
• Chiral symmetry breaking with a confining propagator and dynamically massive gluons