v - in t / 9 90 70 19 v 1 2 2 Ju l 1 99 9 Miura Map between Lattice KP and its Modification is Canonical

91 20 16 v 1 2 9 D ec 1 99 9 On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies

We investigate the Miura map between the dispersionless KP and dispersionless modified KP hierarchies. We show that the Miura map is canonical with respect to their bi-Hamiltonian structures. Moreover, inspired by the works of Takasaki and Takebe, the twistor construction of solution structure for the dispersionless modified KP hierarchy is given.

ar X iv : s ol v - in t / 9 70 70 14 v 1 2 7 Ju l 1 99 7 The constrained modified KP hierarchy and the generalized Miura transformations

In this letter, we consider the second Hamiltonian structure of the constrained modified KP hierarchy. After mapping the Lax operator to a pure differential operator the second structure becomes the sum of the second and the third Gelfand-Dickey brackets defined by this differential operator. We simplify this Hamiltonian structure by factorizing the Lax operator into linear terms.

ar X iv : h ep - l at / 9 60 70 64 v 1 2 6 Ju l 1 99 6

We present results from magnetic monopoles in SU (2) lattice gauge theory at finite temperature. The lattices are 16 3 × N t , for N t = 4, 6, 8, 12, at β = 2.5115. Quantities discussed are: the spacial string tension, Polyakov loops, and the screening of timelike and spacelike magnetic currents.

ar X iv : h ep - l at / 9 90 70 19 v 1 2 3 Ju l 1 99 9 Staggered Fermions and Gauge Field Topology

Based on a large number of smearing steps, we classify SU(3) gauge field configurations in different topological sectors. For each sector we compare the exact analytical predictions for the microscopic Dirac operator spectrum of quenched staggered fermions. In all sectors we find perfect agreement with the predictions for the sector of topological charge zero, showing explicitly that the smalle...

ar X iv : h ep - l at / 9 80 70 28 v 1 1 1 Ju l 1 99 8 COURSE INTRODUCTION TO LATTICE QCD