The Dirac operator spectrum: a perturbative approach

Details The Dirac operator spectrum: a perturbative approach The Dirac operator spectrum: a perturbative approach

2010-02-02

arxiv.org/abs/1002.0452v1

PoS (LAT2009) 209

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 6 figures; talk presented at the 27th International Symposium on Lattice Field Theory (Lattice 2009), Beijing, China,

Scientific paper

By computing the Dirac operator spectrum by means of Numerical Stochastic Perturbation Theory, we aim at throwing some light on the widely accepted picture for the mechanism which is behind the Bank-Casher relation. The latter relates the chiral condensate to an accumulation of eigenvalues in the low end of the spectrum. This can be in turn ascribed to the usual mechanism of repulsion among eigenvalues which is typical of quantum interactions. First results appear to confirm that NSPT can indeed enable us to inspect a huge reshuffling of eigenvalues due to quantum repulsion.

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