Statistical properties at the spectrum edge of the QCD Dirac operator

Content Provider	Semantic Scholar
Author	Ma, Jian Guhr, Thomas Wettig, Tilo
Copyright Year	1998
Abstract	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. Two commonly used statistics, the number variance and the spectral rigidity, are investigated. While the spectral fluctuations at the edge are suppressed to the same extent as in the bulk, the spectra are more rigid at the edge. To study this effect, we introduce a microscopic unfolding procedure to separate the variation of the microscopic spectral density from the fluctuations. For the unfolded data, the number variance shows oscillations of the same kind as before unfolding, and the average spectral rigidity becomes larger than the one in the bulk. In addition, the short-range statistics at the origin is studied. The lattice data are compared to predictions of chiral random-matrix theory, and agreement with the chiral Gaussian Symplectic Ensemble is found. PACS. 11.15.Ha Lattice gauge theory – 05.45.+b Theory and models of chaotic systems – 11.30.Rd Chiral symmetries – 12.38.Gc Lattice QCD calculations
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/hep-lat/9712026v3.pdf
Alternate Webpage(s)	http://cds.cern.ch/record/341467/files/9712026.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/hep-lat/9712026v1.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/hep-lat/9712026v2.pdf
Language	English
Access Restriction	Open
Subject Keyword	Arabic numeral 0 Chaos theory Chirality (chemistry) Constraint (mathematics) Dirac operator Dirac spectrum Dynamical system Eisenstein's criterion Emoticon Ensemble Kalman filter Equivalent Weight Extrapolation Geo-fence Jackson Large Lattice QCD Lattice constant Lattice gauge theory Logical volume management Muscle Rigidity Normal Statistical Distribution Physics and Astronomy Classification Scheme Pin grid array Sample Variance Small Spectral density Stellar classification Stimulation (motivation) Symplectic integrator Unfolding (DSP implementation) Universality probability Virtuality (gaming)
Content Type	Text
Resource Type	Article