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Renormalized quark-antiquark Hamiltonian induced by a gluon mass ansatz in heavy-flavor QCD
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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.
Forward citations
Cited by 4 Pith papers
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Second-order effective renormalized Hamiltonian of Quantum Chromodynamics
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The renormalized light-front Yukawa Hamiltonian gives convergent bound-state masses and parton distributions, with quantum block-encoding costs only about 50% higher than the bare Hamiltonian.
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$\pi\pi$ scattering from a similarity renormalization group perspective
The authors show that SRG evolution makes a fitted pi-pi potential band-diagonal, but they do not verify that the evolved potential reproduces the original phase shifts.
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Gluon mass scale through the Schwinger mechanism
A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.
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