A practical implementation of the Overlap-Dirac operator

Abstract

A practical implementation of the Overlap-Dirac operator $\frac{1+{\gamma }_5\epsilon (H)}{2}$ is presented. The implementation exploits the sparseness of $H$ and does not require full storage. A simple application to parity invariant three dimensional SU(2) gauge theory is carried out to establish that zero modes related to topology are exactly reproduced on the lattice.

Y-axis label in figure corrected

References in corpus (4)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• The index theorem in QCD with a finite cut-off
• Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice
• Exponential suppression of radiatively induced mass in the truncated overlap

Cited by in corpus (131)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Locality properties of Neuberger's lattice Dirac operator
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Light Hadron Masses from Lattice QCD
• Numerical techniques for lattice QCD in the $\epsilon$--regime
• A study of chiral symmetry in quenched QCD using the Overlap-Dirac operator
• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
• The RHMC Algorithm for 2 Flavours of Dynamical Staggered Fermions
• Aspects of Chiral Symmetry and the Lattice
• Evidence of effective axial U(1) symmetry restoration at high temperature QCD
• Improving meson two-point functions in lattice QCD
• A variant approach to the overlap action
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
• Supersymmetric Yang-Mills theory on the lattice
• Low-lying fermion modes, topology and light hadrons in quenched QCD
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• Physics issues in simulations with dynamical overlap fermions
• Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions
• Short distance current correlators: Comparing lattice simulations to the instanton liquid
• Quark condensate in two-flavor QCD
• The Scaling of Exact and Approximate Ginsparg-Wilson Fermions
• Chiral symmetry breaking at large N_c
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter, and One-Loop Renormalization of Fermionic Currents
• Axial vector current of exact chiral symmetry on the lattice
• Hybrid Monte Carlo with Fat Link Fermion Actions
• Kaon B Parameter in Quenched QCD
• Eigenvalue spectrum of massless Dirac operators on the lattice
• On the Neuberger overlap operator
• The finite temperature QCD phase transition with domain wall fermions
• Pseudoscalar Decay Constants $f_D$ and $f_{D_s}$ in Lattice QCD with Exact Chiral Symmetry
• Accelerated Overlap Fermions
• Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions
• Numerical Methods for the QCD Overlap Operator:III. Nested Iterations
• The Kaon B-parameter from Quenched Domain-Wall QCD
• Algorithms for Lattice QCD with Dynamical Fermions
• Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
• Chiral properties of two-flavor QCD in small volume and at large lattice spacing
• Exact Chiral Symmetry on the Lattice
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• Domain Wall Fermions with Exact Chiral Symmetry
• Topological susceptibility with the improved Asqtad action
• Perturbative Renormalization of Weak-Hamiltonian Four-Fermion Operators with Overlap Fermions
• Truncated Overlap Fermions
• One loop matching coefficients for a variant overlap action--and some of its simpler relatives
• Convergence Rate and Locality of Improved Overlap Fermions
• Study of $Thet{a}^{+}(udud\bar{s})$ in lattice QCD with exact chiral symmetry
• Minimizing storage in implementations of the overlap lattice-Dirac operator
• Chiral Symmetry Breaking on the Lattice
• Systematics of Staggered Fermion Spectral Properties and Topology
• Coherent Topological Charge Structure in $C{P}^{N-1}$ Models and QCD
• Locality bound for effective four-dimensional action of domain-wall fermion
• Lambda-parameter of lattice QCD with the overlap-Dirac operator
• Confinement, chiral symmetry, and the lattice
• An alternative to domain wall fermions
• An iterative method to compute the overlap Dirac operator at nonzero chemical potential
• Eigenvalue Decomposition of Meson Correlators
• Light hadron and diquark spectroscopy in quenched QCD with overlap quarks on a large lattice
• Violation of chirality of the Möbius domain-wall Dirac operator from the eigenmodes
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions
• Lanczos Approach to the Inverse Square Root of a Large and Sparse Matrix
• Quark condensate in one-flavor QCD
• B_K from quenched QCD with exact chiral symmetry
• The overlap lattice Dirac operator and dynamical fermions
• The orthogonal ensemble of random matrices and QCD in three dimensions
• Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation
• A nested Krylov subspace method to compute the sign function of large complex matrices
• The topological objects near the chiral crossover transition in QCD
• Another determination of the quark condensate from an overlap action
• Quenched Results for Light Quark Physics with Overlap Fermions
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Alternative to Domain Wall Fermions
• Topological Phases in Neuberger-Dirac operator
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
• Short-recurrence Krylov subspace methods for the overlap Dirac operator at nonzero chemical potential
• Simulating an arbitrary number of flavors of dynamical overlap fermions
• Numerical study of lattice index theorem usingimproved cooling and overlap fermions
• Towards a semi-classical description of QCD vacuum around $T_c$
• Domain wall fermion zero modes on classical topological backgrounds
• Approximation Theory for Matrices
• Fermion-scalar interactions with domain wall fermions
• Small Instantons in $C{P}^1$ and $C{P}^2$ Sigma Models
• Perturbative renormalization of the first two moments of non-singlet quark distributions with overlap fermions
• Improved Pseudofermion Approach for All-Point Propagators
• Hybrid Monte Carlo algorithm for lattice QCD with two flavors of dynamical Ginsparg-Wilson quarks
• Considerations on Neuberger's operator
• A note on Neuberger's double pass algorithm
• The overlap operator as a continued fraction
• Renormalization of Bilinear Quark Operators for Overlap Fermions
• Quenched chiral logarithms in lattice QCD with exact chiral symmetry
• Chiral properties of domain-wall fermions from eigenvalues of 4 dimensional Wilson-Dirac operator
• Can axial U(1) anomaly disappear at high temperature?
• Lattice QCD with mixed actions
• Quenched divergences in the deconfined phase of SU(2) gauge theory
• Gluino zero-modes for non-trivial holonomy calorons
• Chiral Fermions and Multigrid
• Reweighting QCD simulations with dynamical overlap fermions
• A renormalisation group derivation of the overlap formulation
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• A numerical solution to the local cohomology problem in U(1) chiral gauge theories
• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
• Bound states for Overlap and Fixed Point Actions close to the chiral limit
• Speed and Adaptability of Overlap Fermion Algorithms
• A Ginsparg-Wilson approach to lattice CP symmetry, Weyl and Majoranna fermions, and the Higgs mechanism
• New solutions to the Ginsparg-Wilson equation
• The complete lowest order chiral Lagrangian from a little box
• Correlating confinement to topological fluctuations near the crossover transition in QCD
• Dynamical overlap fermions: techniques and results
• Gluino zero-modes for calorons at finite temperature
• A lattice Dirac operator for QCD with light dynamical quarks
• Exact Chiral Symmetry for Domain Wall Fermions with Finite L_s
• Modifying the molecular dynamics action to increase topological tunnelling rate for dynamical overlap fermions
• Multi-grid HMC for Ginsparg-Wilson fermions
• The one-flavor quark condensate and related problems
• Generalised Spin Projection for Fermion Actions
• Improving the low-lying spectrum of the overlap kernel
• The eigSUMR inverter for overlap fermion
• Tricks to implement the overlap Dirac operator
• An Algorithmic Approach to Quantum Field Theory
• Ginsparg-Wilson Games
• Lattice Chirality and its uses at large N
• Recent results using the overlap Dirac operator
• A further extension to the group of Ginsparg-Wilson (overlap) chiral symmetries
• Computational Methods in Quantum Field Theory
• FLIC Overlap Fermions
• Probing QCD instantons using jet correlation observables in proton-proton collisions at the LHC