Renormalized quark-antiquark Hamiltonian induced by a gluon mass ansatz in heavy-flavor QCD

Abstract

In response to the growing need for theoretical tools that can be used in QCD to describe and understand the dynamics of gluons in hadrons in the Minkowski space-time, the renormalization group procedure for effective particles (RGPEP) is shown in the simplest available context of heavy quarkonia to exhibit a welcome degree of universality in the first approximation it yields once one assumes that beyond perturbation theory gluons obtain effective mass. Namely, in the second-order terms, the Coulomb potential with Breit-Fermi spin couplings in the effective quark-antiquark component of a heavy quarkonium, is corrected in one-flavor QCD by a spin-independent harmonic oscillator term that does not depend on the assumed effective gluon mass or the choice of the RGPEP generator. The new generator we use here is much simpler than the ones used before and has the advantage of being suitable for studies of the effective gluon dynamics at higher orders than the second and beyond the perturbative expansion.

arXiv comment8 pages, 2 figures, journal version

References in corpus (45)

• Heavy quarkonium: progress, puzzles, and opportunities
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Aspects of the Functional Renormalisation Group
• Heavy-flavour and quarkonium production in the LHC era: from proton-proton to heavy-ion collisions
• Light-Front Holographic QCD and Emerging Confinement
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• On the infrared behavior of Landau gauge Yang-Mills theory
• Pinch Technique: Theory and Applications
• Nonperturbative Light-Front QCD
• Charmonium and bottomonium production in heavy-ion collisions
• Non-perturbative comparison of QCD effective charges
• Heavy Quarkonium in a Holographic Basis
• Quarkonia and Heavy-Quark Relaxation Times in the Quark-Gluon Plasma
• LHC Forward Physics
• Running Gluon Mass from Landau Gauge Lattice QCD Propagator
• Quarkonium as relativistic bound state on the light front
• Heavy quarkonium hybrids from Coulomb gauge QCD
• Review of Heavy Quarkonium at weak coupling
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Effective confining potentials for QCD
• Spectra of heavy mesons in the Bethe-Salpeter approach
• High Gluon Densities in Heavy Ions Collisions
• Bottomonium in a Bethe-Salpeter-equation study
• Quarkonia in Hamiltonian Light-Front QCD
• ${\rm Y}(nS)$ and ${\chi }_b(nP)$ production at hadron colliders in nonrelativistic QCD
• Asymptotic Freedom and Bound States in Hamiltonian Dynamics
• Asymptotic freedom in the front-form Hamiltonian for quantum chromodynamics of gluons
• Feasibility study for the measurement of $\pi N$ TDAs at PANDA in $\bar{p}p\to J/\psi {\pi }^0$
• The deconfinement phase transition in the Hamiltonian approach to Yang--Mills theory in Coulomb gauge
• Coulomb gauge confinement in the heavy quark limit
• Harmonic oscillator force between heavy quarks
• Quarks in Coulomb gauge perturbation theory
• Quarkonium $h$ States As Arbiters of Exoticity
• Optimization of perturbative similarity renormalization group for Hamiltonians with asymptotic freedom and bound states
• Covariant Spectator Theory of heavy-light and heavy mesons and the predictive power of covariant interaction kernels
• Renormalization group procedure for effective particles: elementary example of exact solution with finite mass corrections and no involvement of vacuum
• Semiexclusive production of $J/\psi$ mesons in proton-proton collisions with electromagnetic and diffractive dissociation of one of the protons
• Constituent gluons and the static quark potential
• Exploring dynamical gluon mass generation in three dimensions
• Effects of Massive Gluons on Quarkonia in Light-Front QCD
• Fermion mass mixing and vacuum triviality in the renormalization group procedure for effective particles
• Boost-invariant Hamiltonian approach to heavy quarkonia
• Flow Equations and Normal Ordering
• Effective particles in quantum field theory

Cited by in corpus (19)

• 50 Years of Quantum Chromodynamics
• Gauge Sector Dynamics in QCD
• Evidence of ghost suppression in gluon mass dynamics
• Emergence of mass in the gauge sector of QCD
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• Approximate Hamiltonian for baryons in heavy-flavor QCD
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Gluon mass scale through nonlinearities and vertex interplay
• Light-front holography with chiral symmetry breaking
• All-charm tetraquark in front form dynamics
• Gluon mass scale through the Schwinger mechanism
• Longitudinal dynamics for mesons on the light cone
• Stress out of charmonia
• Bottomonium spectrum with a Dirac potential model in the momentum space
• Baryon masses estimate in heavy flavor QCD
• The Ridge Effect, Azimuthal Correlations, and other Novel Features of Gluonic String Collisions in High Energy Photon-Mediated Reactions
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Asymptotic freedom using a gluon mass as a regulator
• $\pi \pi$ scattering from a similarity renormalization group perspective