The classically perfect fixedpoint action for SU(3) gauge theory
Abstract
In this paper (the first of a series) we describe the construction of fixedpoint actions for lattice SU(3) pure gauge theory. Fixedpoint actions have scaleinvariant instanton solutions and the spectrum of their quadratic part is exact (they are classical perfect actions). We argue that the fixedpoint action is even oneloop quantum perfect, i.e. in its physical predictions there are no g^{2}a^{n} cutoff effects for any n. We discuss the construction of fixedpoint operators and present examples. The lowestorder q overlineq potential V( r) obtained from the fixedpoint Polyakov loop correlator is free of any cutoff effects which go to zero as an inverse power of the distance r.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)004585
 arXiv:
 arXiv:heplat/9506030
 Bibcode:
 1995NuPhB.454..587D
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 34 pages (latex) + 7 figures (Postscript), uuencoded