PERFECT LATTICE ACTIONS FOR THE GROSS-NEVEU MODEL AT LARGE-N

Citation
W. Bietenholz et al., PERFECT LATTICE ACTIONS FOR THE GROSS-NEVEU MODEL AT LARGE-N, Nuclear physics. B, 436(1-2), 1995, pp. 385-413
Citations number
17
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
436
Issue
1-2
Year of publication
1995
Pages
385 - 413
Database
ISI
SICI code
0550-3213(1995)436:1-2<385:PLAFTG>2.0.ZU;2-9
Abstract
Fixed point actions for free and interacting staggered lattice fermion s are constructed by iterating renormalization group transformations. At large N the fixed point action for the Gross-Neveu model is a perfe ct action in the sense of Hasenfratz and Niedermayer, i,e, cut-off eff ects are completely eliminated. Tn particular, the fermionic 1-particl e energy spectrum of the lattice theory is identical with the one of t he continuum even for arbitrarily small correlation lengths. The cut-o ff effects of the chiral condensate are eliminated using a perfect ope rator.