Microscopic spectra at finite lattice spacing

Who: Kim Splittorff (NBI)
When: Monday, May 17, 2010 at 14:15
Where: The CP³ meeting room


Chiral Random Matrix Theory and Chiral Perturbation Theory has given us extremely useful tools to extract physical observables from lattice QCD simulations. For example, it is possible to determine the infinite volume value of the chiral condensate from finite volume simulations of Lattice QCD. The tools are based on exact analytic computations of the distributions of the smallest (microscopic) eigenvalues of the Dirac operator in a finite volume. This talk presents the first results for the low lying microscopic spectrum of the QCD Dirac operator at nonzero lattice spacing. The results open a novel analytical approach to lattice gauge theory at finite lattice spacing and are crucial for establishing a stable domain for numerical simulations

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