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15-16 janvier 2015
Institut Henri Poincaré
Fuseau horaire Europe/Paris

Random Matrix Theory for Wilson-Dirac Operator

15 janv. 2015 à 12:01
14m
Chair: Jean-Philippe Lansberg, Amphi Hermite (Institut Henri Poincaré)

Chair: Jean-Philippe Lansberg, Amphi Hermite

Institut Henri Poincaré

11, rue Pierre et Marie Curie 75005 Paris

Orateur

Savvas Zafeiropoulos (Goethe Universitaet Frankfurt)

Description

We summarize recent analytical results obtained for the discretization effects of the non-Hermitian Wilson Dirac operator. We include the effect of all three leading low energy constants in our analysis. In particular we discuss the results for the eigenvalue densities close to the continuum limit but we also consider the case of large lattice spacing which is closely related to the mean field limit. Finally, we extract simple relations between measurable spectral quantities and the low energy constants. These relations serve as a new way to measure the additional low energy constants of Wilson chiral perturbation theory.

Summary

We summarize recent analytical results obtained for the discretization effects of the non-Hermitian Wilson
Dirac operator. We include the effect of all three leading low energy constants in our analysis. In particular we
discuss the results for the eigenvalue densities close to the continuum limit but we also consider the case of large lattice spacing which
is closely related to the mean field limit. Finally, we extract simple relations between measurable
spectral quantities and the low energy constants. These relations serve as a new way to measure the additional low energy constants of Wilson chiral perturbation theory.

Auteur principal

Savvas Zafeiropoulos (Goethe Universitaet Frankfurt)

Documents de présentation

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