Chiral Fermions and Multigrid

Abstract

Lattice regularization of chiral fermions is an important development of the theory of elementary particles. Nontheless, brute force computer simulations are very expensive, if not prohibitive. In this letter I exploit the non-interacting character of the lattice theory in the flavor space and propose a multigrid approach for the simulation of the theory. Already a two-grid algorithm saves an order of magnitude of computer time for fermion propagator calculations.

Latex, 6 pages, 1 figure

References in corpus (3)

• A practical implementation of the Overlap-Dirac operator
• A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions
• On the Neuberger overlap operator

Cited by in corpus (5)

• Numerical Methods for the QCD Overlap Operator:III. Nested Iterations
• Linear Algebra with Disordered Sparse Matrices that have Spatial Structure: Theory and Computation
• The two-grid algorithm confronts a shifted unitary orthogonal method
• A note on ultraviolet suppressed quasi-optimal domain wall fermions
• Lattice QCD and the Balkan physicists contribution