ar X iv : h ep - l at / 0 00 30 13 v 1 1 7 M ar 2 00 0 BUTP / 2000 - 6 The construction of generalized Dirac operators on the lattice

ar X iv : h ep - l at / 0 00 30 13 v 2 1 8 M ar 2 00 0 BUTP / 2000 - 6 The construction of generalized Dirac operators on the lattice 1

We discuss the steps to construct Dirac operators which have arbitrary fermion offsets, gauge paths, a general structure in Dirac space and satisfy the basic symmetries (gauge symmetry, hermiticity condition , charge conjugation, hypercubic rotations and reflections) on the lattice. We give an extensive set of examples and offer help to add further structures.

ar X iv : h ep - t h / 00 10 13 6 v 1 1 7 O ct 2 00 0 HEAT TRACE ASYMPTOTICS OF A TIME DEPENDENT PROCESS

We study the heat trace asymptotics defined by a time dependent family of operators of Laplace type which naturally appears for time dependent metrics. MSC number: 58G25, 35P05.

ar X iv : h ep - l at / 0 11 00 15 v 1 5 O ct 2 00 1 1 Chirally improved Dirac operators : Studying the sensitivity to topological excitations for zero and finite temperature ∗

We discuss the construction and properties of an approximate solution of the Ginsparg-Wilson equation, the so-called chirally improved lattice Dirac operator. In particular we study the behavior of its eigenmodes in smooth instanton backgrounds as well as for thermalized gauge configurations on both sides of the QCD phase transition. We compare with results from other Dirac operators including ...

ar X iv : h ep - l at / 0 01 10 50 v 1 1 0 N ov 2 00 0 1 Supersymmetry on Lattice Using Ginsparg - Wilson Relation

The Ginsparg-Wilson(G-W) relation for chiral symmetry is extended for a supersymmetrical(SUSY) case on a lattice. It is possible to define exact lattice supersymmetry which are devided into two different cases according to using difference operators. U(1)R symmetry on the lattice is also realized as one of exact symmetries. For an application, the extended G-W relation is given for a two-dimens...

ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions