The classically perfect fixed-point action for SU(3) gauge theory

1995/06/27 by Thomas DeGrand, T. DeGrand, A. Hasenfratz +4 · 10 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/0550-3213(95)00458-5

published as Nucl.Phys. B454 (1995) 587-614 · 34 pages (latex) + 7 figures (Postscript), uuencoded

arxiv created 1995/06/27 · openalex publication_date 1995/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

In this paper (the first of a series) we describe the construction of fixed point actions for lattice SU(3) pure gauge theory. Fixed point actions have scale invariant instanton solutions and the spectrum of their quadratic part is exact (they are classical perfect actions). We argue that the fixed point action is even 1--loop quantum perfect, i.e. in its physical predictions there are no g² aⁿ cut--off effects for any n. We discuss the construction of fixed point operators and present examples. The lowest order q q potential V(r) obtained from the fixed point Polyakov loop correlator is free of any cut--off effects which go to zero as an inverse power of the distance r.

Citations

• The renormalization group and the ε expansion
• Non-perturbative tests of the fixed-point action for SU(3) gauge theory
• The renormalization group: Critical phenomena and the Kondo problem

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