Speaker
P.H. Damgaard
(The Niels Bohr Institute)
Description
The spectrum of the Wilson Dirac operator for $N_f=1$ in the
microscopic ($\epsilon$) regime including order $a^2$ corrections
is discussed. Exact results are obtained from Wilson chiral
Perturbation Theory in sectors of fixed topology. Topology is defined as
the number of real eigenvalues of the Wilson Dirac operator. We
compute the density of these real modes as well as the microscopic
spectral density of the hermitian Wilson Dirac operator. We show
how the change of sign of the Wilson fermion determinant associated
with the real modes crossing the origin affects the average
spectral properties of the Wilson Dirac Operator.
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Primary authors
Prof.
G. Akemann
(Brunel University, West London)
Prof.
J.J.M. Verbaarschot
(Stony Brook, SUNY)
Dr
K. Splittorff
(The Niels Bohr Institute)
P.H. Damgaard
(The Niels Bohr Institute)