Berlin 2005 – wissenschaftliches Programm

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HK: Physik der Hadronen und Kerne

HK 27: Theorie

HK 27.8: Vortrag

Dienstag, 8. März 2005, 15:45–16:00, TU MA005

Dirac operator for two color QCD at nonzero chemical potential vs matrix models — •Harald Markum¹, Gernot Akemann², Elmar Bittner³, Maria-Paola Lombardo⁴, and Rainer Pullirsch¹ — ¹Atominstitut, Technische Universität Wien, Austria — ²Department of Mathematical Sciences, Brunel University West London, UK — ³Institut für Theoretische Physik, Universität Leipzig, Germany — ⁴INFN - Laboratori Nazionali di Frascati, Italy

We investigate the eigenvalue spectrum of the staggered Dirac matrix in two color QCD at finite chemical potential. The profiles of complex eigenvalues close to the origin are compared to a complex generalization of the chiral Gaussian Symplectic Ensemble, confirming its predictions for weak and strong non-Hermiticity. They differ from the QCD symmetry class with three colors by a level repulsion from both the real and imaginary axis.