432 research outputs found
Bosonic Partition Functions at Nonzero (Imaginary) Chemical Potential
We consider bosonic random matrix partition functions at nonzero chemical
potential and compare the chiral condensate, the baryon number density and the
baryon number susceptibility to the result of the corresponding fermionic
partition function. We find that as long as results are finite, the phase
transition of the fermionic theory persists in the bosonic theory. However, in
case that bosonic partition function diverges and has to be regularized, the
phase transition of the fermionic theory does not occur in the bosonic theory,
and the bosonic theory is always in the broken phase.Comment: 30 pages, 6 figure
The Wilson Dirac Spectrum for QCD with Dynamical Quarks
All microscopic correlation functions of the spectrum of the Hermitian Wilson
Dirac operator with any number of flavors with equal masses are computed. In
particular, we give explicit results for the spectral density in the physical
case with two light quark flavors. The results include the leading effect in
the discretization error and are given for fixed index of the Wilson Dirac
operator. They have been obtained starting from chiral Lagrangians for the
generating function of the Dirac spectrum. Microscopic correlation functions of
the real eigenvalues of the Wilson Dirac operator are computed following the
same approach.Comment: 26 pages, 5 figure
Surprises for QCD at Nonzero Chemical Potential
In this lecture we compare different QCD-like partition functions with
bosonic quarks and fermionic quarks at nonzero chemical potential. Although it
is not a surprise that the ground state properties of a fermionic quantum
system and a bosonic quantum system are completely different, the behavior of
partition functions with bosonic quarks does not follow our naive expectation.
Among other surprises, we find that the partition function with one bosonic
quark only exists at nonzero chemical potential if a conjugate bosonic quark
and a conjugate fermionic quark are added to the partition function.Comment: Invited talk at Continuous Advances in QCD, Minneapolis 2006. Latex,
8 pages and 5 figure
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