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Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation

Abstract

We investigate how topological zero-modes affect hadron physics in the quenched approximation. We remark that in a finite volume the exact zero-modes render the chiral condensate pathological and explain why this is not observed in lattice calculations. We then provide an argument, supported by a model calculation, to show how the mixed `zero-modes` produce a density of modes, {lambda}, in the large volume limit that diverges as 1/{radical}({lambda}). This implies that the quark physics of quenched QCD becomes pathological in the continuum limit. We also show how similar arguments lead to a non-standard but regular spectrum in full QCD. ((orig.)).
Authors:
Dowrick, N; [1]  Teper, M [1] 
  1. Oxford Univ. (United Kingdom). Dept. of Physics
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; 662120; PA: AIX-26:064447; EDB-95:132494; SN: 95001458461
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; CHIRAL SYMMETRY; LATTICE FIELD THEORY; CHIRALITY; QUANTUM CHROMODYNAMICS; UNIFIED GAUGE MODELS; ASYMPTOTIC SOLUTIONS; BOSE-EINSTEIN CONDENSATION; BOUNDARY CONDITIONS; DIRAC OPERATORS; EIGENVALUES; HADRONS; INSTANTONS; QUARK MODEL; SPECTRA; SPECTRAL DENSITY; SU-3 GROUPS; SYMMETRY BREAKING; TOPOLOGY
OSTI ID:
101189
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF568064447
Submitting Site:
NLN
Size:
pp. 237-239
Announcement Date:
Oct 05, 1995

Citation Formats

Dowrick, N, and Teper, M. Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00212-R.
Dowrick, N, & Teper, M. Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation. Netherlands. doi:10.1016/0920-5632(95)00212-R.
Dowrick, N, and Teper, M. 1995. "Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation." Netherlands. doi:10.1016/0920-5632(95)00212-R. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00212-R.
@misc{etde_101189,
title = {Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation}
author = {Dowrick, N, and Teper, M}
abstractNote = {We investigate how topological zero-modes affect hadron physics in the quenched approximation. We remark that in a finite volume the exact zero-modes render the chiral condensate pathological and explain why this is not observed in lattice calculations. We then provide an argument, supported by a model calculation, to show how the mixed `zero-modes` produce a density of modes, {lambda}, in the large volume limit that diverges as 1/{radical}({lambda}). This implies that the quark physics of quenched QCD becomes pathological in the continuum limit. We also show how similar arguments lead to a non-standard but regular spectrum in full QCD. ((orig.)).}
doi = {10.1016/0920-5632(95)00212-R}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}