Quantum chaos in supersymmetric QCD at finite density

• Verfasst von: Bittner, Elmar [VerfasserIn]
• Verfasst von: Hands, Simon [VerfasserIn]
• Verfasst von: Markum, Harald [VerfasserIn]
• Verfasst von: Pullirsch, Rainer [VerfasserIn]
• Titel: Quantum chaos in supersymmetric QCD at finite density
• Verf.angabe: Elmar Bittner, Simon Hands, Harald Markum and Rainer Pullirsch
• E-Jahr: 2004
• Jahr: 01 January 2004
• Umfang: 6 S.
• Fussnoten: Gesehen am 13.10.2022
• Titel Quelle: Enthalten in: Progress of theoretical physics / Supplement
• Ort Quelle: Kyoto [u.a.] : Inst., 1955
• Jahr Quelle: 2004
• Band/Heft Quelle: 153(2004) vom: Jan., Seite 295-300
• DOI: doi:10.1143/PTPS.153.295
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1804330027

Abstract

We investigate the distribution of the spacings of adjacent eigenvalues of the lattice Dirac operator. At zero chemical potential µ, the nearest-neighbor spacing distribution P(s) follows the Wigner surmise of random matrix theory both in the confinement and in the deconfinement phase. This is indicative of quantum chaos. At nonzero chemical potential, the eigenvalues of the Dirac operator become complex and we discuss how P(s) can be defined in the complex plane. Numerical results from an SU(2) simulation with staggered fermions in fundamental and adjoint representations are compared with predictions from non-hermitian random matrix theory, and agreement with the Ginibre ensemble is found for µ≈0.5.