Speaker
Prof.
Jacobus Verbaarschot
(Stony Brook University)
Description
The behavior of quenched Dirac spectra of two-dimensional lattice QCD is
consistent with spontaneous chiral symmetry breaking which is forbidden
according to the Coleman-Mermin-Wagner theorem. One possible resolution of this
paradox is that because of the bosonic determinant that enters in the
partially quenched partition function the conditions of this theorem
are violated allowing for spontaneous symmetry breaking in two dimensions
or less. This goes back to work by Niedermaier and Seiler on nonamenable
symmetries of the hyperbolic spin chain and work with Splittorf on bosonic
partition functions at nonzero chemical potential.
In this talk we discuss chiral symmetry breaking for a bosonic random matrix
theory at imaginary chemical potential for which the chiral symmetry group
is noncompact and compare with results from the corresponding fermionic
theory with the usual compact symmetries.
Primary author
Prof.
Jacobus Verbaarschot
(Stony Brook University)
Co-author
Mr
Moshe Kellerstein
(Stony Brook University)
