Random Matrices and the Convergence of Partition Function Zeros in Finite Density QCD
نویسندگان
چکیده
M. Á. Halász, J. C. Osborn, M. A. Stephanov, J. J. M. Verbaarschot Department of Physics and Astronomy, University of Pennsylvania, 209 S 33rd Street, Philadelphia, PA 19104, USA Department of Physics and Astronomy, State University of New York, Stony Brook, NY 11794-3800, USA Institute for Theoretical Physics, SUNY, Stony Brook, NY 11794-3840, USA Department of Physics, University of Illinois, 845 W Taylor Street, Chicago, IL 60607-7059, USA
منابع مشابه
Yang-Lee zeros of a random matrix model for QCD at finite density
We study the Yang-Lee zeros of a random matrix partition function with the global symmetries of the QCD partition function. We consider both zeros in the complex chemical potential plane and in the complex mass plane. In both cases we find that the zeros are located on a curve. In the thermodynamic limit, the zeros appear to merge to form a cut. The shape of this limiting curve can be obtained ...
متن کاملThe zeros of the QCD partition function
We establish a relationship between the zeros of the partition function in the complex mass plane and the spectral properties of the Dirac operator in QCD. This relation is derived within the context of chiral Random Matrix Theory and applies to QCD when chiral symmetry is spontaneously broken. Further, we introduce and examine the concept of normal modes in chiral spectra. Using this formalism...
متن کاملComparative Study of Random Matrices Capability in Uncertainty Detection of Pier’s Dynamics
Because of random nature of many dependent variables in coastal engineering, treatment of effective parameters is generally associated with uncertainty. Numerical models are often used for dynamic analysis of complex structures, including mechanical systems. Furthermore, deterministic models are not sufficient for exact anticipation of structure’s dynamic response, but probabilistic models...
متن کاملThe Infrared Limit of the Qcd Dirac Spectrum and Applications of Chiral Random Matrix Theory to Qcd
In the first part of these lectures we discuss the infrared limit of the spectrum of the QCD Dirac operator. We discuss the global symmetries of the QCD partition function and show that the Dirac spectrum near zero virtuality is determined by the pattern of spontaneous chiral symmetry breaking of a QCD-like partition function with additional bosonic valence quarks and their super-symmetric part...
متن کاملDense QCD in a finite volume.
We study the properties of QCD at high baryon density in a finite volume where color superconductivity occurs. We derive exact sum rules for complex eigenvalues of the Dirac operator at a finite chemical potential, and show that the Dirac spectrum is directly related to the color superconducting gap Delta. Also, we find a characteristic signature of color superconductivity: an X-shaped spectrum...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014