ar X iv : h ep - t h / 99 10 13 9 v 1 1 8 O ct 1 99 9 February 1 , 2008 Degeneracy of zero modes of the Dirac operator in three dimensions

ar X iv : h ep - l at / 9 91 00 40 v 1 2 5 O ct 1 99 9 RUHN - 99 - 3 The Overlap Dirac Operator ⋆

This introductory presentation describes the Overlap Dirac Operator, why it could be useful in numerical QCD, and how it can be implemented.

ar X iv : h ep - l at / 9 71 00 86 v 1 2 4 O ct 1 99 7 1 Applications of the Eigenmodes of the Staggered Dirac Operator

We have constructed the lowest few eigenvectors of the staggered Dirac operator on SU (3) gauge configurations, both quenched and dynamical. We use these modes to study the topological charge and to construct approximate hadronic correlators.

ar X iv : h ep - p h / 99 10 24 8 v 1 6 O ct 1 99 9 1 Effect of σ ( 600 ) - Production in pp̄ → 3 π 0 at rest

ar X iv : h ep - t h / 99 07 16 1 v 1 1 9 Ju l 1 99 9 Remarks on Infrared Dynamics in QED 3

In this work we study how the infrared sector of the interaction Hamiltonian can affect the construction of the S matrix operator of QED in (2+1) dimensions.

X iv : h ep - t h / 99 03 11 9 v 1 1 4 M ar 1 99 9 Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator

The correlations of the QCD Dirac eigenvalues are studied with use of an extended chiral random matrix model. The inclusion of spatial dependence which the original model lacks enables us to investigate the effects of diffusion modes. We get analytical expressions of level correlation functions with non-universal behavior caused by diffusion modes which is characterized by Thouless energy. Pion...