Effective Hamiltonian for QCD on the Light Front

Research output

Abstract

A semiphenomenological model for the effective Hamiltonian of Quantum Chromodynamics on the light front in (3 + 1)-dimensional space-time is proposed and the spectral equation for the mass squared of quark-antiquark states is considered. Proposed Hamiltonian includes a term dependent on the zero mode of the gluon field, which is introduced as an independent dynamic variable. The inclusion of this term allows to obtain quark and antiquark confinement in transverse directions in the Light Front coordinates. We can obtain confinement also in the longitudinal coordinates taking into account the four-fermion term in the Hamiltonian.

Original languageEnglish
Pages (from-to)533-536
JournalPhysics of Particles and Nuclei Letters
Volume16
Issue number5
Early online date26 Sep 2019
DOIs
Publication statusPublished - 2019

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quantum chromodynamics
quarks
Light
fermions
inclusions
Direction compound

Scopus subject areas

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Radiology Nuclear Medicine and imaging

Cite this

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abstract = "A semiphenomenological model for the effective Hamiltonian of Quantum Chromodynamics on the light front in (3 + 1)-dimensional space-time is proposed and the spectral equation for the mass squared of quark-antiquark states is considered. Proposed Hamiltonian includes a term dependent on the zero mode of the gluon field, which is introduced as an independent dynamic variable. The inclusion of this term allows to obtain quark and antiquark confinement in transverse directions in the Light Front coordinates. We can obtain confinement also in the longitudinal coordinates taking into account the four-fermion term in the Hamiltonian.",
keywords = "gauge field theory, quantization on the Light Front",
author = "Malyshev, {M. Yu.} and Prokhvatilov, {E. V.} and Franke, {V. A.}",
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