Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
arXiv:hep-lat/0106011 · doi:10.1088/1126-6708/2001/07/018
Abstract
We present a method to compute non-perturbatively the renormalization constant of the scalar density for Ginsparg-Wilson fermions. It relies on chiral symmetry and is based on a matching of renormalization group invariant masses at fixed pseudoscalar meson mass, making use of results previously obtained by the ALPHA Collaboration for O(a)-improved Wilson fermions. Our approach is quite general and enables the renormalization of scalar and pseudoscalar densities in lattice regularizations that preserve chiral symmetry and of fermion masses in any regularization. As an application we compute the non-perturbative factor which relates the renormalization group invariant quark condensate to its bare counterpart, obtained with overlap fermions at beta=5.85 in the quenched approximation.
21 pages, 4 postscript files, LaTeX
References in corpus (1)
Cited by in corpus (46)
- Chirally improving Wilson fermions - I. O(a) improvement
- Low-energy couplings of QCD from current correlators near the chiral limit
- Lattice QCD in the epsilon-regime and random matrix theory
- Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
- Testing the fixed-point QCD action and the construction of chiral currents
- Operator product expansion and quark condensate from Lattice QCD in coordinate space
- Light Quark Masses with Overlap Fermions in Quenched QCD
- Overlap Quark Propagator in Landau Gauge
- Finite-size Scaling of Meson Propagators
- Concerning the quark condensate
- Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
- Kaon B Parameter in Quenched QCD
- Finite-Size Scaling of Vector and Axial Current Correlators
- Low-energy couplings of QCD from topological zero-mode wave functions
- Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
- The chiral condensate from renormalization group optimized perturbation
- An estimate of the chiral condensate from unquenched lattice QCD
- On the renormalized scalar density in quenched QCD
- Chiral Effective Lagrangian and Quark Masses
- Chiral Properties of Pseudoscalar Mesons on a Quenched Lattice with Overlap Fermions
- Going chiral: overlap versus twisted mass fermions
- Probing the chiral regime of Nf=2 QCD with mixed actions
- Scalar condensate and light quark masses from overlap fermions
- Light hadron and diquark spectroscopy in quenched QCD with overlap quarks on a large lattice
- Phenomenology from lattice QCD
- Non-perturbative renormalization of left-left four-fermion operators in quenched lattice QCD
- Lattice 2001: Reflections
- Exact Chiral Symmetry on the Lattice: QCD Applications
- Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents
- Another determination of the quark condensate from an overlap action
- Quenched Results for Light Quark Physics with Overlap Fermions
- K-->pipi amplitudes from lattice QCD with a light charm quark
- Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
- Non-perturbative renormalisation of left-left four-fermion operators with Neuberger fermions
- Continuum physics with quenched overlap fermions
- Non-perturbative renormalization of HQET and QCD
- Dynamical Simulations with Smeared Link Staggered Fermions
- Chiral Condensate and Spectral Density at full five-loop and partial six-loop orders of Renormalization Group Optimized Perturbation
- Probing the chiral weak Hamiltonian at finite volumes
- A Study of the 't Hooft Model with the Overlap Dirac Operator
- Testing chiral effective theory with quenched lattice QCD
- Color confinement, chiral symmetry breaking, and catalytic effect induced by monopole and instanton creations
- Monopole and instanton effects in QCD
- Twisted mass QCD for weak matrix elements
- Comparison between overlap and twisted mass fermions towards the chiral limit
- Kaon B-parameter using Overlap Fermions