ar X iv : c on d - m at / 9 90 92 74 v 1 1 8 Se p 19 99 BAND STRUCTURE OF LOCAL PAIRS . MATHEMATHICAL TOOLS

ar X iv : m at h - ph / 9 90 90 25 v 1 2 1 Se p 19 99 The symmetries of the Manton superconductivity model

The symmetries and conserved quantities of Manton's modified superconductiv-ity model with non-relativistic Maxwell-Chern-Simons dynamics (also related to the Quan-tized Hall Effect) are obtained in the " Kaluza-Klein type " framework of Duval et al. 1. Introduction Recently [1], Manton proposed a modified version of the Landau-Ginzburg theory of superconductivity. His equations, defined on (2 ...

ar X iv : c on d - m at / 9 60 31 90 v 1 2 9 M ar 1 99 6 The Four - Dimensional XY Spin Glass

ar X iv : h ep - l at / 9 90 91 13 v 1 1 4 Se p 19 99 1 N = 1 Super Yang - Mills on the Lattice in the Strong Coupling Limit

We study the N = 1 supersymmetric SU (Nc) Yang-Mills theory on the lattice at strong coupling. We analyse and discuss the recent results obtained at strong coupling and large Nc for the mesonic and fermionic propagators and spectrum.

ar X iv : h ep - l at / 9 90 91 10 v 1 1 4 Se p 19 99 1 Improved Landau Gauge Fixing and Discretisation Errors ∗

Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a 2) errors are removed is presented. O(a 2) improvement of the gauge fixing condition displays the secondary benefit of reducing the size of higher-order errors. These results emphasise the importance of implementing an improved gauge fixing condition.

ar X iv : h ep - e x / 99 09 03 9 v 1 2 3 Se p 19 99 The Partonic Structure of the Quasi - Real Photon

New measurements of dijet photoproduction at HERA provide information on the gluon density in the photon and on its quark densities at high x γ and high factorisation scales.