Semiclassical limits for the QCD Dirac operator
arXiv:math-ph/0601065 · doi:10.1016/j.aop.2006.09.010
Abstract
We identify three semiclassical parameters in the QCD Dirac operator. Mutual coupling of the different types of degrees of freedom (translational, colour and spin) depends on how the semiclassical limit is taken. We discuss various semiclassical limits and their potential to describe spectrum and spectral statistics of the QCD Dirac operator close to zero virtuality.
34 pages, 1 figure
References in corpus (23)
- Random matrix theory and spectral sum rules for the Dirac operator in QCD
- Spectral Density of the QCD Dirac Operator near Zero Virtuality
- Random Matrix Theory and Chiral Symmetry in QCD
- Quark condensate in a magnetic field
- A semiclassical approach to the Dirac equation
- Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles
- Thouless Energy and Correlations of QCD Dirac Eigenvalues
- Chiral Disorder in QCD
- Semiclassical theory of spin-orbit interactions using spin coherent states
- Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches
- Semiclassical form factor for chaotic systems with spin 1/2
- Crossover to Non-universal Microscopic Spectral Fluctuations in Lattice Gauge Theory
- Semiclassical theory of spin-orbit interaction in the extended phase space
- Statistical analysis and the equivalent of a Thouless energy in lattice QCD Dirac spectra
- A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators
- Universal spectral statistics in Wigner-Dyson, chiral and Andreev star graphs I: construction and numerical results
- Berry phase in homogeneous Kähler manifolds with linear Hamiltonians
- Quantum and classical ergodicity of spinning particles
- Stochastic field theory for a Dirac particle propagating in gauge field disorder
- Universal spectral statistics of Andreev billiards: semiclassical approach
- Semiclassical propagation of coherent states with spin-orbit interaction
- Universal spectral statistics in Wigner-Dyson, chiral and Andreev star graphs II: semiclassical approach
- Dirac operator spectral density and low energy sum rules
Cited by in corpus (4)
- Polyakov loops and spectral properties of the staggered Dirac operator
- Dynamics of Dipoles and Quantum Phases in Noncommutative Coordinates
- Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. I
- Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. II