Instantons and Fixed Point Actions in SU(2) Gauge Theory

Abstract

We describe the properties of instantons in lattice gauge theory when the action is a fixed point action of some renormalization group transformation. We present a theoretically consistent method for measuring topological charge using an inverse renormalization group transformation. We show that, using a fixed point action, the action of smooth configurations with non-zero topological charge is greater than or equal to its continuum value $8{\pi }^2/g^2$.

uufiles plain latex mss, epsf figures appended as .eps files

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Cited by in corpus (36)

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• Revealing Topological Structure in the SU(2) Vacuum
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• Light Hadron Spectroscopy on Coarse Lattices with O(a^2) Mean-Field Improved Actions
• Action and topological density carried by Abelian monopoles in finite temperature pure SU(2) gauge theory: an analysis using RG smoothing
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• Confinement from semiclassical gluon fields in SU(2) gauge theory
• Absence of evidence for pentaquarks on the lattice
• Instanton classical solutions of SU(3) fixed point actions on open lattices
• Classically Perfect Gauge Actions on Anisotropic Lattices
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