Glueball spectrum based on a rigorous three-dimensional relativistic equation for two-gluon bound states I: Derivation of the relativistic equation

Abstract

A rigorous three-dimensional relativistic equation satisfied by two-gluon bound states is derived from the QCD with massive gluons. With the gluon fields and the quark fields being expanded in terms of the gluon multipole fields and the spherical Dirac spinors respectively, the equation is well established in the angular momentum representation and hence is much convenient for solving the problem of two-gluon glueball spectra. In particular, the interaction kernel in the equation is exactly derived and given a closed expression which includes all the interactions taking place in the two-gluon glueballs. The kernel contains only a few types of Green's functions and commutators. Therefore, it is not only easily calculated by the perturbation method, but also provides a suitable basis for nonperturbative investigations.

References in corpus (11)

• The glueball spectrum from an anisotropic lattice study
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• Masses, decays and mixings of gluonia in QCD
• EVIDENCE FOR A SCALAR GLUEBALL
• Scalar Quarkonium and the Scalar Glueball
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• A Lattice Study of the Glueball Spectrum
• The Glueball Spectrum from a Potential Model
• Tensor glueball-meson mixing phenomenology
• Glueball Spectrum from the B.S. Equation

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• Renormalization of the Sigma-Omega model within the framework of U(1) gauge symmetry
• Rigorous three-dimensional relativistic equation for quark-antiquark bound states at finite temperature derived from the thermal QCD formulated in the coherent-state representation