Simulating Full QCD with the Fixed Point Action

Abstract

Due to its complex structure the parametrized fixed point action can not be simulated with the available local updating algorithms. We constructed, coded, and tested an updating procedure with 2+1 light flavors, where the targeted s-quark mass is at its physical value while the u- and d-quarks should produce pions lighter than 300MeV. In the algorithm a partially global gauge update is followed by several accept/reject steps, where parts of the determinant are switched on gradually in the order of their expenses. The trial configuration that is offered in the last, most expensive, stochastic accept/reject step differs from the original configuration by a Metropolis + over-relaxation gauge update over a sub-volume of ~(1.3 fm)^4. The acceptance rate in this accept/reject step is ~0.4. The code is optimized on different architectures and is running on lattices with L=1.2fm and 1.8fm at a resolution of a=0.15fm.

21 pages, 5 figures; New references added

References in corpus (22)

• Perfect lattice action for asymptotically free theories
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Prospects for perfect actions
• Testing the fixed-point QCD action and the construction of chiral currents
• Quenched spectroscopy with fixed-point and chirally improved fermions
• Revealing Topological Structure in the SU(2) Vacuum
• Systematic errors of Lüscher's fermion method and its extensions
• The construction of generalized Dirac operators on the lattice
• Fixed Point Gauge Actions with Fat Links: Scaling and Glueballs
• UV-filtered fermionic Monte Carlo
• Updating algorithms with multi-step stochastic correction
• Quadratically optimized polynomials for fermion simulations
• Speeding up finite step-size updating of full QCD on the lattice
• Evaluating the Fermionic Determinant of Dynamical Configurations
• Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents
• Simulation of dynamical fermions with smeared links
• Partial-Global Stochastic Metropolis Update for Dynamical Smeared Link Fermions
• Dynamical fermions as a global correction
• The Kentucky Noisy Monte Carlo Algorithm for Wilson Dynamical Fermions
• First results from a parametrized Fixed-Point QCD action
• New results on cut-off effects in spectroscopy with the fixed point action
• Using Approximating Polynomials in Partial-Global Dynamical Simulations

Cited by in corpus (18)

• Meson and baryon spectrum for QCD with two light dynamical quarks
• Reweighting towards the chiral limit
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions
• A local factorization of the fermion determinant in lattice QCD
• Validity of the Rooted Staggered Determinant in the continuum limit
• An iterative method to compute the overlap Dirac operator at nonzero chemical potential
• Spontaneous chiral symmetry breaking in QCD:a finite-size scaling study on the lattice
• QCD with two dynamical flavors of chirally improved quarks
• Kenneth Wilson and lattice QCD
• Finite-size scaling for the left-current correlator with non-degenerate quark masses
• 2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors
• Probing the chiral weak Hamiltonian at finite volumes
• Machine learning a fixed point action for SU(3) gauge theory with a gauge equivariant convolutional neural network
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• The Hadron Spectrum from Lattice QCD
• Fermions as Global Correction: the QCD Case
• Dirac Eigenmodes in an Environment of Dynamical Fermions
• Dynamical fermions in lattice quantum chromodynamics