Renormalization of an effective Light-Cone QCD-inspired theory for the Pion and other Mesons

Abstract

The renormalization of the effective QCD-Hamiltonian theory for the quark-antiquark channel is performed in terms of a renormalized or fixed-point Hamiltonian that leads to subtracted dynamical equations. The fixed point-Hamiltonian brings the renormalization conditions as well as the counterterms that render the theory finite. The approach is renormalization group invariant. The parameters of the renormalized effective QCD-Hamiltonian comes from the pion mass and radius, for a given constituent quark mass. The 1s and excited 2s states of $\bar{u}q$ are calculated as a function of the mass of the quark $q$ being s, c or b, and compared to the experimental values.

39 pages, 10 figures

References in corpus (3)

• A compendium of light-cone quantization
• On the effective light-cone QCD-Hamiltonian: Application to the pion and other mesons
• Fixed-Point Hamiltonians in Quantum Mechanics

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• Two-fermion relativistic bound states in Light-Front Dynamics
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• Splitting of the pi - rho spectrum in a renormalized light-cone QCD-inspired model
• Relativistic dynamics of Qqq systems
• Study of the in-medium nucleon electromagnetic form factors using a light-front nucleon wave function combined with the quark-meson coupling model
• Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
• Electromagnetic structure and weak decay of meson K in a light-front QCD-inspired
• Electromagnetic structure and weak decay of pseudoscalar mesons in a light-front QCD-inspired model
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics