On the non-perturbative gluon mass and heavy quark physics

Abstract

We study a recently proposed gauge invariant, non-local pure gauge observable, which is equivalent to the gluon propagator in a certain gauge. The correlator describes a gluon coupled to static sources and decays with eigenvalues of the Hamiltonian, permitting a non-perturbative definition of a gluonic parton mass. Detailed numerical tests of the observable are performed in SU(2) gauge theories in 2+1 dimensions. In a Higgs model it reproduces the physical W-boson mass, while in a confining theory its non-local nature results in almost exclusive projection onto torelonic states. However, the gluon mass can also be related to the mass difference between the lowest gluelumps, i.e. gluon configurations bound to adjoint sources. Its value is computed in SU(2) pure gauge theory in 2+1 dimensions to be m_A=0.360(19)g^2, which plays an important role as "magnetic mass" of the four-dimensional theory at high temperatures. The same quantity is found to determine the mass splitting between vector and scalar mesons in the three-dimensional theory. In SU(3) pure gauge theory in 3+1 dimensions the corresponding gluelump splitting yields m_A\approx 370 MeV. Possible relations of this quantity with the QCD heavy meson spectrum are discussed.

32 pages, 8 figures. Typos and conflicting notations corrected, reference added

References in corpus (4)

• Problems in Lattice Gauge Fixing
• Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory
• The Gluon Propagator without lattice Gribov copies on a finer lattice
• Non-perturbative singularity structure of gluon and quark propagators

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• Infrared facets of the three-gluon vertex
• Evidence of ghost suppression in gluon mass dynamics
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• Emergence of mass in the gauge sector of QCD
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• Energy Loss of Gluons, Baryons and k-Quarks in an N=4 SYM Plasma
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Gluon mass scale through nonlinearities and vertex interplay
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• Lattice three-gluon vertex in extended kinematics: planar degeneracy
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• Calculation of the non-perturbative strong coupling from first principles
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• Screening of Z(N) monopole pairs in gauge theories
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• On the invariant measure for the Yang-Mills configuration space in (3+1) dimensions
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• Using the Chern-Simons Action for a Self-Consistent Determination of the Magnetic Screening Mass in Thermal QCD