Quarkonia in Hamiltonian Light-Front QCD

Abstract

A constituent parton picture of hadrons with logarithmic confinement naturally arises in weak coupling light-front QCD. Confinement provides a mass gap that allows the constituent picture to emerge. The effective renormalized Hamiltonian is computed to $\mathcal{O}(g^2)$, and used to study charmonium and bottomonium. Radial and angular excitations can be used to fix the coupling $\alpha$, the quark mass $M$, and the cutoff $\Lambda$. The resultant hyperfine structure is very close to experiment.

9 pages, 1 latex figure included in the text. Published version (much more reader-friendly); corrected error in self-energy

References in corpus (4)

• Nonperturbative Light-Front QCD
• A renormalization group approach to Hamiltonian light-front field theory
• Initial bound state studies in light-front QCD
• Note on restoring manifest rotational symmetry in hyperfine and fine structure in light-front QED

Cited by in corpus (48)

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• Heavy Quarkonium in a Holographic Basis
• Diffractive Heavy Quarkonium Photo- and Electroproduction in QCD
• Quarkonium as relativistic bound state on the light front
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• Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics
• Non-linear feedback effects in coupled Boson-Fermion systems
• Nonperturbative light-front Hamiltonian methods
• Light Front Quantization--A Technique for Relativistic and Realistic Nuclear Physics
• Asymptotic Freedom and Bound States in Hamiltonian Dynamics
• Pauli--Villars as a Nonperturbative Ultraviolet Regulator in Discretized Light-Cone Quantization
• Dynamics of Effective Gluons
• Analytic Treatment of Positronium Spin Splittings in Light-Front QED
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• Renormalized quark-antiquark Hamiltonian induced by a gluon mass ansatz in heavy-flavor QCD
• Calculating critical temperatures of superconductivity from a renormalized Hamiltonian
• Application of Pauli-Villars Regularization and Discretized Light-Cone Quantization to a (3+1)-Dimensional Model
• Large-momentum convergence of Hamiltonian bound-state dynamics of effective fermions in quantum field theory
• A nonperturbative calculation of the electron's magnetic moment with truncation extended to two photons
• Harmonic oscillator force between heavy quarks
• Nonperturbative Description of Deep Inelastic Structure Functions in Light-Front QCD
• The Lamb Shift in a Light Front Hamiltonian Approach
• Glueballs on a transverse lattice
• Glueballs in a Hamiltonian Light-Front Approach to Pure-Glue QCD
• Sum rule for the twist four longitudinal structure function
• On relation between rest frame and light-front descriptions of quarkonium
• Perturbative Tamm-Dancoff Renormalization
• Mesons in Light-Front QCD${}_{2+1}$: Investigation of a Bloch Effective Hamiltonian
• Effects of Massive Gluons on Quarkonia in Light-Front QCD
• Systematic Renormalization in Hamiltonian Light-Front Field Theory
• Boost-Invariant Running Couplings in Effective Hamiltonians
• Boost-invariant Hamiltonian approach to heavy quarkonia
• Estimate of the three-loop contribution to the QCD static potential from renormalon cancellation
• Twist Four Longitudinal Structure Function in Light-Front QCD
• Systematic Renormalization in Hamiltonian Light-Front Field Theory: The Massive Generalization
• Stress out of charmonia
• Flow equations for quark-gluon interactions in light-front QCD
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Electromagnetic duality and light-front coordinates
• Mesons in (2+1) Dimensional Light Front QCD. II. Similarity Renormalization Approach
• Light-front Hamiltonians for heavy quarks and gluons
• Topological Excitations in the Thirring model
• Light-cone quantization of two dimensional field theory in the path integral approach
• Glue in the light-front pion
• Small x divergences in a heavy quark-antiquark state
• Twist Four Longitudinal Structure Function for a Positronium-like Bound State in Light-Front QED
• Color van der Waals forces between heavy quarkonia in effective QCD
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics