Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
arXiv:0708.1731 · doi:10.1103/PhysRevD.76.094509
Abstract
Recent advances in Random Matrix Theory enable one to determine the pseudoscalar decay constant from the response of eigenmodes of quenched fermions to an imaginary isospin chemical potential. We perform a pilot test of this idea, from simulations with two flavors of dynamical overlap fermions.
11 pages, 7 figures, Revtex
References in corpus (39)
- 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 in SU(2) Yang--Mills Theory
- A General Method for Non-Perturbative Renormalization of Lattice Operators
- Random matrix theory and spectral sum rules for the Dirac operator in QCD
- The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way
- Spectral Density of the QCD Dirac Operator near Zero Virtuality
- Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
- Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
- HMC algorithm with multiple time scale integration and mass preconditioning
- Exact chiral symmetry, topological charge and related topics
- Dynamical Twisted Mass Fermions with Light Quarks
- A practical implementation of the Overlap-Dirac operator
- The pion mass in finite volume
- Hypercubic Smeared Links for Dynamical Fermions
- Microscopic universality in the spectrum of the lattice Dirac operator
- Quark spectra, topology and random matrix theory
- Lattice QCD in the epsilon-regime and random matrix theory
- Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
- A variant approach to the overlap action
- Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
- Two-flavor lattice QCD in the epsilon-regime and chiral Random Matrix Theory
- Physics issues in simulations with dynamical overlap fermions
- Quark condensate in two-flavor QCD
- Small eigenvalues of the SU(3) Dirac operator on the lattice and in Random Matrix Theory
- The Low-Lying Dirac Spectrum of Staggered Quarks
- Microscopic Spectral Density of the Dirac Operator in Quenched QCD
- A New Method for Determining on the Lattice
- A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
- Microscopic universality with dynamical fermions
- Distributions of Dirac Operator Eigenvalues
- Finite-Size Scaling of Vector and Axial Current Correlators
- Eigenvalue Distributions of the QCD Dirac Operator
- An estimate of the chiral condensate from unquenched lattice QCD
- Correlators of left charges and weak operators in finite volume chiral perturbation theory
- Extracting from small lattices: unquenched results
- Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential
- The condensate for two dynamical chirally improved quarks in QCD
- Quark condensate in one-flavor QCD
- Simulating an arbitrary number of flavors of dynamical overlap fermions
Cited by in corpus (26)
- FLAG Review 2019
- Review of lattice results concerning low energy particle physics
- Reweighting towards the chiral limit
- Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
- Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
- Determination of the chiral condensate from QCD Dirac spectrum on the lattice
- Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
- Probing the chiral regime of Nf=2 QCD with mixed actions
- Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD
- Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
- Finite size scaling of meson propagators with isospin chemical potential
- The epsilon expansion at next-to-next-to-leading order with small imaginary chemical potential
- A Numerical Study of the 2-Flavour Schwinger Model with Dynamical Overlap Hypercube Fermions
- Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime
- Chiral Random Matrix Theory and Chiral Perturbation Theory
- Testing chiral effective theory with quenched lattice QCD
- Reweighting QCD simulations with dynamical overlap fermions
- Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order
- Universality and critical behavior in the chiral two-matrix model
- The complete lowest order chiral Lagrangian from a little box
- Determining QCD Low-Energy Couplings from lattice simulations
- Dynamical simulations with HYP-link Wilson fermions
- Non-perturbative improvement of nHYP smeared Wilson fermions
- The k-th Smallest Dirac Operator Eigenvalue and the Pion Decay Constant
- Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature
- Exploring the epsilon regime with lattice Wilson fermions