Perfect Lattice Actions for the Gross-Neveu Model at large N
W. Bietenholz, E. Focht, U. -J. Wiese
Abstract
Fixed point actions for free and interacting staggered lattice fermions are constructed by iterating renormalization group transformations. At large N the fixed point action for the Gross-Neveu model is a perfect action in the sense of Hasenfratz and Niedermayer, i.e. cut-off effects are completely eliminated. In particular, the fermionic 1-particle energy spectrum of the lattice theory is identical with the one of the continuum even for arbitrarily small correlation lengths. The cut-off effects of the chiral condensate are eliminated using a perfect operator. (The paper is stored as a ps-file containing both the text and 5 figures.)
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