Particle theory

Abstract:

We show that the SU(2) lattice topological susceptibility, as calculated using the Phillips and Stone algorithm, is divergent in the continuum limit, when one uses the standard plaquette action. We discuss remedies and implications. © 1989.

Abstract:

We study the glueball spectrum for pure gauge SU(3) using lattice-gauge-theory simulation. We investigate a range of β-values from 5.9 to 6.2, a range of sizes of spatial lattice from 103 to 203, all JPC possibilities, states of different momentum, etc. We are able to conclude that our results are relevant to the continuum limit of pure gauge QCD. We obtain glueball masses (in units of Keff which is about 0.44 GeV.): 3.5(2) and 6.3(4) for 0++, 5.3(2) for 2++, 5.3(2) for 0-+, 6.9(5) for 1+- and 6.6(10) for 2+-. © 1989.

Abstract:

We implement the algorithm of Phillips and Stone on a hypercubic, periodic lattice and show that at currently accessible couplings the SU(2) topological charge so calculated is dominated by short-distance fluctuations. We propose and test an improvement to rid the measure of such lattice artifacts. We find that the improved algorithm produces a topological susceptibility that is consistent with that obtained by the alternative cooling method, thus resolving the controversial discrepancy between geometric and cooling methods. We briefly discuss the reasons for this and point out that our improvement is likely to be particularly effective when applied to the case of SU(3). © 1989.