Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-12-21
Nucl.Phys. B628 (2002) 167-192
Physics
High Energy Physics
High Energy Physics - Lattice
32 pages, 8 figures. Typos and conflicting notations corrected, reference added
Scientific paper
10.1016/S0550-3213(02)00089-5
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.
No associations
LandOfFree
On the non-perturbative gluon mass and heavy quark physics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the non-perturbative gluon mass and heavy quark physics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the non-perturbative gluon mass and heavy quark physics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-50098