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Statistical properties at the spectrum edge of the QCD Dirac operator
Jian-Zhong Ma, Thomas Guhr, Tilo Wettig
The statistical properties of the spectrum of the staggered Dirac operator in an SU(2) lattice gauge theory are analyzed both in the bulk of the spectrum and at the spectrum edge.…
Random Matrix Theories in Quantum Physics: Common Concepts
Thomas Guhr, Axel Mueller-Groeling, Hans A. Weidenmueller
We review the development of random-matrix theory (RMT) during the last decade. We emphasize both the theoretical aspects, and the application of the theory to a number of fields.…
Universal spectral correlations of the Dirac operator at finite temperature
Thomas Guhr, Tilo Wettig
Using the graded eigenvalue method and a recently computed extension of the Itzykson-Zuber integral to complex matrices, we compute the -point spectral correlation functions of…
Spectral correlations in the crossover between GUE and Poisson regularity: on the identification of scales
Thomas Guhr, Axel Mueller-Groeling
Motivated by questions of present interest in nuclear and condensed matter physics we consider the superposition of a diagonal matrix with independent random entries and a GUE. The…
Correlation-Hole Method for Spectra of Superconducting Microwave Billiards
H. Alt, H. -D. Graef, R. Hofferbert +5
The spectral fluctuation properties of various two- and three-dimensional superconducting billiard systems are investigated by employing the correlation-hole method. It rests on th…
Quantization of Hyperbolic N-Sphere Scattering Systems in Three Dimensions
Michael Henseler, Andreas Wirzba, Thomas Guhr
Most discussions of chaotic scattering systems are devoted to two-dimensional systems. It is of considerable interest to extend these studies to the, in general, more realistic cas…