Instanton classical solutions of SU(3) fixed point actions on open lattices

Abstract

We construct instanton-like classical solutions of the fixed point action of a suitable renormalization group transformation for the SU(3) lattice gauge theory. The problem of the non-existence of one-instantons on a lattice with periodic boundary conditions is circumvented by working on open lattices. We consider instanton solutions for values of the size (0.6-1.9 in lattice units) which are relevant when studying the SU(3) topology on coarse lattices using fixed point actions. We show how these instanton configurations on open lattices can be taken into account when determining a few-couplings parametrization of the fixed point action.

arXiv comment23 pages, LaTeX, 4 eps figures, epsfig.sty; some comments added

References in corpus (17)

• A construction of lattice chiral gauge theories
• Perfect lattice action for asymptotically free theories
• The classically perfect fixed point action for SU(3) gauge theory
• Topology of the SU(2) vacuum: a lattice study using improved cooling
• Instantons from over-improved cooling
• Non--perturbative tests of the fixed point action for SU(3) gauge theory
• Topological Structure in the SU(2) Vacuum
• Instantons and the fixed point topological charge in the two-dimensional O(3) sigma-model
• Instantons and Fixed Point Actions in SU(2) Gauge Theory
• Scaling and Topological Charge of a Fixed Point Action for $SU(2)$ Gauge Theory
• SU(3) Thermodynamics on Small Lattices
• Numerical study of Yang-Mills classical solutions on the twisted torus
• New fixed point action for SU(3) lattice gauge theory
• Improved lattice actions
• Renormalization group flow and fixed point of the lattice topological charge in the 2-d O(3) sigma-model
• Yang-Mills classical solutions and fermionic zero modes from lattice calculations
• Perfect topological charge for asymptotically free theories

Cited by in corpus (5)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Fixed Point Gauge Actions with Fat Links: Scaling and Glueballs
• Classically Perfect Gauge Actions on Anisotropic Lattices
• The Calculation of the Perturbative Expansion of Wilson Loops on Lattice
• Fixed point actions and on-shell tree-level Symanzik improvement