Scaling behavior of the quark propagator in full QCD

Abstract

We study the scaling behavior of the quark propagator on two lattices with similar physical volume in Landau gauge with 2+1 flavors of dynamical quarks in order to test whether we are close to the continuum limit for these lattices. We use configurations generated with an improved staggered ("Asqtad") action by the MILC collaboration. The calculations are performed on 28 3 × 96 lattices with lattice spacing a = 0.09 fm and on 20 3 × 64 lattices with lattice spacing a = 0.12 fm. We calculate the quark mass function, M (q 2 ), and the wave-function renormalization function, Z(q 2 ), for a variety of bare quark masses. Comparing the behavior of these functions on the two sets of lattices we find that both Z(q 2 ) and M (q 2 ) show little sensitivity to the ultraviolet cutoff.

Exciting flavored bound states

“…This occurs for either parameter set of the interaction and indicates a non-Hermiticity of the Hamiltonian in the case of |cu and |cs bound states. 4 We have verified that our solutions converge, i.e. they are independent of the amount of Chebyshev moments in the expansion and the ground state and excited D meson masses do not vary for U m (z p ), m ≥ 4.…”

Deconfinement and chiral restoration in nonlocal SU(3) chiral quark models

“…1, where we plot the curves obtained for the functions M (p) and Z(p), together with N f = 2 + 1 lattice data taken from Ref. [20]. For comparison we also quote the results corresponding to set I. arising from the diagonalization of the 3 × 3 matrix in Eq.…”

Scaling behavior and positivity violation of the gluon propagator in full QCD

“…Ref. [50] using these gauge configurations and it was found that a bare quark mass of 14 MeV on the fine ensemble had the same running mass as a bare quark of 11 MeV on the coarse ensemble. We therefore perform the small extrapolation of the coarse ensemble gluon propagator to 11 MeV for this comparison.…”