Microscopic universality with dynamical fermions
- 8 September 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 58 (7) , 071502
- https://doi.org/10.1103/physrevd.58.071502
Abstract
It has recently been demonstrated in quenched lattice simulations that the distribution of the low-lying eigenvalues of the QCD Dirac operator is universal and described by random-matrix theory. We present the first evidence that this universality continues to hold in the presence of dynamical quarks. Data from a lattice simulation with gauge group SU(2) and dynamical staggered fermions are compared to the predictions of the chiral symplectic ensemble of random-matrix theory with massive dynamical quarks. Good agreement is found in this exploratory study. We also discuss the implications of our results.Keywords
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This publication has 29 references indexed in Scilit:
- Microscopic spectra of Dirac operators and finite-volume partition functionsNuclear Physics B, 1998
- Consistency conditions for finite-volume partition functionsPhysics Letters B, 1998
- Statistical properties at the spectrum edge of the QCD Dirac operatorThe European Physical Journal A, 1998
- Dirac operator spectra from finite-volume partition functionsPhysics Letters B, 1998
- Microscopic Universality in the Spectrum of the Lattice Dirac OperatorPhysical Review Letters, 1998
- Spectral sum rules and finite volume partition function in gauge theories with real and pseudoreal fermionsPhysical Review D, 1995
- Random matrix theory and spectral sum rules for the Dirac operator in QCDNuclear Physics A, 1993
- Spectrum of Dirac operator and role of winding number in QCDPhysical Review D, 1992
- Thermodynamics of chiral symmetryPhysics Letters B, 1987
- Chiral symmetry breaking in confining theoriesNuclear Physics B, 1980