ar X iv : h ep - l at / 9 21 10 02 v 1 2 N ov 1 99 2 1 The Running Coupling from SU ( 3 ) Potentials

ar X iv : h ep - l at / 9 41 10 15 v 1 9 N ov 1 99 4 1 Instanton size distributions from calibrated cooling

Using an under-relaxed cooling algorithm we investigated the vacuum in the 2d O(3) model and 4d pure gauge SU (2). We calibrated the amount of cooling performed to have similar physical effect at different lattice spacings.

ar X iv : h ep - l at / 9 21 10 01 v 1 2 N ov 1 99 2 1 Pure - gauge SU ( 2 ) on large lattices

We have calculated the qq̄ potential over a wide range of lattice separations on a 48 ·56 lattice at β = 2.85. We are able to investigate both long-range and (by correcting for the effects of lack of rotational invariance) shortrange potentials. From the former we estimate the string tension and from the latter we are able to investigate asymptotic scaling. Fitting to this enables us to give an ...

ar X iv : h ep - t h / 99 02 06 3 v 1 9 F eb 1 99 9 SU ( 2 ) Charges as Angular - momentum in N = 1 Self - dual Supergravity ∗

The N = 1 self-dual supergravity has SL(2,C) symmetry . This symmetry results in SU(2) charges as the angular-momentum. As in the nonsupersymmetric self-dual gravity, the currents are also of their potentials and are therefore identically conserved. The charges are generally invariant and gauge covariant under local SU(2) transforms approaching to be rigid at spatial infinity. The Poisson brack...

ar X iv : h ep - l at / 9 21 10 55 v 1 2 3 N ov 1 99 2 1 Finite - size scaling on the Ising coexistence line ∗

We study the finite-size scaling of moments of the magnetization in the low-temperature phase of the two-dimensional Ising model.

ar X iv : h ep - t h / 94 10 11 8 v 2 2 2 N ov 1 99 4 WILSON LOOPS , qq̄ and 3 q POTENTIALS , BETHE – SALPETER EQUATION