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Perfect lattice actions for the Gross-Neveu model

Abstract

We apply the method of Hasenfratz and Niedermayer to analytically construct perfect lattice actions for the Gross-Neveu model. In the large N limit these actions display an exactly perfect scaling, i.e. cut-off artifacts are completely eliminated even at arbitrarily short correlation length. Also the energy spectrum coincides with the spectrum in the continuum and continuous translation and rotation symmetries are restored in physical observables. This is the first (analytic) construction of an exactly perfect lattice action at finite correlation length. ((orig.)).
Authors:
Bietenholz, W; [1]  Focht, E; [2]  Wiese, U J [1] 
  1. Massachusetts Inst. of Tech., Cambridge, MA (United States). Center for Theoretical Physics
  2. Technische Hochschule Aachen (Germany). Inst. fuer Theoretische Physik
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064356; EDB-95:132442; SN: 95001458371
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; LATTICE FIELD THEORY; NONLINEAR PROBLEMS; ACTION INTEGRAL; ASYMPTOTIC SOLUTIONS; BOSE-EINSTEIN CONDENSATION; CHIRALITY; CORRELATION FUNCTIONS; ENERGY GAP; ENERGY SPECTRA; FERMIONS; FIELD OPERATORS; LAGRANGIAN FIELD THEORY; ROTATIONAL INVARIANCE; SCALING LAWS; SYMMETRY
OSTI ID:
101050
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF397064356
Submitting Site:
NLN
Size:
pp. 790-795
Announcement Date:
Oct 05, 1995

Citation Formats

Bietenholz, W, Focht, E, and Wiese, U J. Perfect lattice actions for the Gross-Neveu model. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00383-K.
Bietenholz, W, Focht, E, & Wiese, U J. Perfect lattice actions for the Gross-Neveu model. Netherlands. doi:10.1016/0920-5632(95)00383-K.
Bietenholz, W, Focht, E, and Wiese, U J. 1995. "Perfect lattice actions for the Gross-Neveu model." Netherlands. doi:10.1016/0920-5632(95)00383-K. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00383-K.
@misc{etde_101050,
title = {Perfect lattice actions for the Gross-Neveu model}
author = {Bietenholz, W, Focht, E, and Wiese, U J}
abstractNote = {We apply the method of Hasenfratz and Niedermayer to analytically construct perfect lattice actions for the Gross-Neveu model. In the large N limit these actions display an exactly perfect scaling, i.e. cut-off artifacts are completely eliminated even at arbitrarily short correlation length. Also the energy spectrum coincides with the spectrum in the continuum and continuous translation and rotation symmetries are restored in physical observables. This is the first (analytic) construction of an exactly perfect lattice action at finite correlation length. ((orig.)).}
doi = {10.1016/0920-5632(95)00383-K}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}