On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations
作者： Christof Gattringer , Ivan Hip
DOI: 10.1016/S0550-3213(98)00558-6
关键词: Physics 、 Lattice (order) 、 Gauge theory 、 Quantum mechanics 、 Atiyah–Singer index theorem 、 Spectrum of a matrix 、 Eigenvalues and eigenvectors 、 Lattice field theory 、 Theoretical physics 、 Hamiltonian lattice gauge theory 、 Topological quantum number
摘要: Abstract We study characteristic features of the eigenvalues Wilson-Dirac operator in topologically non-trivial gauge field configurations by examining complete spectra fermion matrix. In particular we discuss role eigenvectors with real as lattice equivalents continuum zero-modes. demonstrate that those properties spectrum which correspond to topology are stable under adding fluctuations fields. The behavior a fully quantized theory is discussed using QED2 an example.
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