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8 papers · 2 filters
On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations
Christof Gattringer, Ivan Hip
We study characteristic features of the eigenvalues of the Wilson-Dirac operator in topologically non-trivial gauge field configurations by examining complete spectra of the fermio…
Chiral symmetry in the 2-flavour lattice Schwinger model
I. Hip, C. B. Lang, R. Teppner
We study the 2-flavour lattice Schwinger model: QED in D=2 with two fermion species of identical mass. In the simulation we are using Wilson fermions where chiral symmetry is expli…
Remarks on the realization of the Atiyah-Singer index theorem in lattice gauge theory
C. R. Gattringer, I. Hip, C. B. Lang
We discuss the interplay between topologically non-trivial gauge field configurations and the spectrum of the Wilson-Dirac operator in lattice gauge theory. Our analysis is based o…
A fixed-point action for the lattice Schwinger model
C. B. Lang, T. K. Pany
We determine non-perturbatively a fixed-point (FP) action for fermions in the two-dimensional U(1) gauge (Schwinger) model. Our parameterization for the fermionic action has terms…
Fixed point action for the massless lattice Schwinger model
C. B. Lang, T. K. Pany
We determine non-perturbatively the fixed-point action for fermions in the two-dimensional U(1) gauge (Schwinger) model. This is done by iterating a block spin transformation in th…
Quantum Fluctuations versus Topology - a Study in U(1)_2 Lattice Gauge Theory
C. R. Gattringer, I. Hip, C. B. Lang
Using the geometric definition of the topological charge we decompose the path integral of 2-dimensional U(1) lattice gauge theory into topological sectors. In a Monte Carlo simula…