Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-12-22
Nucl.Phys. B687 (2004) 76-100
Physics
High Energy Physics
High Energy Physics - Lattice
Latex, 31 pages with 7 figures and 4 tables
Scientific paper
10.1016/j.nuclphysb.2004.03.021
We perform numerical studies of the running coupling constant alpha_R(p^2) and of the gluon and ghost propagators for pure SU(2) lattice gauge theory in the minimal Landau gauge. Different definitions of the gauge fields and different gauge-fixing procedures are used respectively for gaining better control over the approach to the continuum limit and for a better understanding of Gribov-copy effects. We find that the ghost-ghost-gluon-vertex renormalization constant is finite in the continuum limit, confirming earlier results by all-order perturbation theory. In the low momentum regime, the gluon form factor is suppressed while the ghost form factor is divergent. Correspondingly, the ghost propagator diverges faster than 1/p^2 and the gluon propagator appears to be finite. Precision data for the running coupling alpha_R(p^2) are obtained. These data are consistent with an IR fixed point given by lim_{p \to 0} alpha_R(p^2) = 5(1).
Bloch Jacques C. R.
Cucchieri Attilio
Langfeld Kurt
Mendes Tereza
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