Topological tunneling with Dynamical overlap fermions

Abstract

Tunneling between different topological sectors with dynamical chiral fermions is difficult because of a poor mass scaling of the pseudo-fermion estimate of the determinant. For small fermion masses it is virtually impossible using standard methods. However, by projecting out the small Wilson eigenvectors from the overlap operator, and treating the correction determinant exactly, we can significantly increase the rate of topological sector tunneling and reduce substantially the auto-correlation time. We present and compare a number of different approaches, and advocate a method which allows topological tunneling even at low mass with little addition to the computational cost.

17 pages; v2 as accepted in computer Physics Communications

References in corpus (17)

• Instantons in QCD
• Exactly massless quarks on the lattice
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Chiral Fermions on the Lattice
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Monopole Constituents inside SU(n) Calorons
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• Numerical Methods for the QCD Overlap Operator: I. Sign-Function and Error Bounds
• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Physics issues in simulations with dynamical overlap fermions
• Topology with Dynamical Overlap Fermions
• Low-lying Wilson Dirac operator eigenvector mixing in dynamical overlap Hybrid Monte-Carlo
• Current status of Dynamical Overlap project
• Asymptotics of Fixed Point Distributions for Inexact Monte Carlo Algorithms
• The Tunneling Hybrid Monte-Carlo algorithm

Cited by in corpus (14)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Two-flavor QCD simulation with exact chiral symmetry
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions
• QCD thermodynamics with dynamical overlap fermions
• Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
• Topology of dynamical lattice configurations including results from dynamical overlap fermions
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• Low-lying Wilson Dirac operator eigenvector mixing in dynamical overlap Hybrid Monte-Carlo
• A Numerical Study of the 2-Flavour Schwinger Model with Dynamical Overlap Hypercube Fermions
• Continuum Limit of Overlap Valence Quarks on a Twisted Mass Sea
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• A lattice Dirac operator for QCD with light dynamical quarks
• The eigSUMR inverter for overlap fermion
• Modifying the molecular dynamics action to increase topological tunnelling rate for dynamical overlap fermions