Topology conserving gauge action and the overlap-Dirac operator

Abstract

We apply the topology conserving gauge action proposed by Luescher to the four-dimensional lattice QCD simulation in the quenched approximation. With this gauge action the topological charge is stabilized along the hybrid Monte Carlo updates compared to the standard Wilson gauge action. The quark potential and renormalized coupling constant are in good agreement with the results obtained with the Wilson gauge action. We also investigate the low-lying eigenvalue distribution of the hermitian Wilson-Dirac operator, which is relevant for the construction of the overlap-Dirac operator.

27pages, 11figures, accepted version

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Cited by in corpus (19)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Lattice gauge action suppressing near-zero modes of H_W
• Two-flavor QCD simulation with exact chiral symmetry
• Topological Lattice Actions
• Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Exploring Topology Conserving Gauge Actions for Lattice QCD
• Interpreting Numerical Measurements in Fixed Topological Sectors
• Berezinskii-Kosterlitz-Thouless Transition with a Constraint Lattice Action
• Extracting hadron masses from fixed topology simulations
• Comparing topological charge definitions using topology fixing actions
• Admissibility Condition and Nontrivial Indices on a Noncommutative Torus
• Drastic Reduction of Cutoff Effects in 2-d Lattice O(N) Models
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Lattice QCD with fixed topology
• An Improved Single-Plaquette Gauge Action
• Neutron Electric Dipole Moment at Fixed Topology
• Filtered topological structure of the QCD vacuum: Effects of dynamical quarks
• Modified Abelian and SU(2) Wilson theories on a lattice from a non-compact regularization