Speaker
Prof.
Jacobus Verbaarschot Verbaarschot
(Stony Brook University)
Description
Random matrix theory has had a significant impact on our understanding
of the sign problem and nonzero baryon chemical potential. Among others
it has explained the nature of the quenched approximation, the relation
between Dirac spectra and the sign problem, the Silver Blaze problem and
the microscopic Dirac spectrum. Perhaps the most surprising result from
random matrix theory is that the discontinuity of the chiral condensate
requires an alternative of the Banks-Casher formula. This mechanism occurs
both in random matrix theory and one-dimensional QCD and in this lecture
we discuss the universality of this mechanism for chiral symmetry breaking.
Relations with the sign problem at nonzero $\theta$-angle are discussed.
