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Spectroscopy and renormalisation group flow of a lattice Nambu-Jona-Lasinio model

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Abstract

We investigate a lattice Nambu-Jona-Lasinio model both by the Monte Carlo method and Schwinger-Dyson equations. A comparison allows the discussion of finite size effects and the extrapolation to infinite volume. We pay special attention to the identification of particles and resonances. This enables us to discuss renormalisation group flows in the neighbourhood of the critical coupling where the chiral symmetry breaking phase transition takes place. In no region of the bare parameter space do we find renormalisability for the model. (orig.)
Authors:
Ali Khan, A; [1]  Goeckeler, M; [1]  Horsley, R; [1]  Schierholz, G; [1]  Rakow, P E.L.; [2]  Stueben, H [2] 
  1. Forschungszentrum Juelich GmbH (Germany). Hoechstleistungsrechenzentrum
  2. Freie Univ. Berlin (Germany). Inst. fuer Theoretische Physik
Publication Date:
Dec 01, 1993
Product Type:
Technical Report
Report Number:
DESY-93-195; FUB-HEP-93-14; HLRZ-93-51
Reference Number:
SCA: 662240; PA: DEN-94:0F7256; EDB-94:085085; ERA-19:019999; NTS-95:004788; SN: 94001208063
Resource Relation:
Other Information: PBD: Dec 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUARK MODEL; LATTICE FIELD THEORY; CHIRAL SYMMETRY; DYSON REPRESENTATION; LAGRANGIAN FIELD THEORY; MONTE CARLO METHOD; PHASE TRANSFORMATIONS; PROPAGATOR; RENORMALIZATION; SCHWINGER FUNCTIONAL EQUATIONS; SYMMETRY BREAKING; BOUNDARY CONDITIONS; EXTRAPOLATION; ACTION INTEGRAL; COMPUTERIZED SIMULATION; WAVE FUNCTIONS; QUARKS; BOSE-EINSTEIN CONDENSATION; CHIRALITY; PHASE DIAGRAMS; REST MASS; SCALING LAWS; QUARKONIUM; BOUND STATE; QUARK-ANTIQUARK INTERACTIONS; GROUND STATES; PIONS; LEPTONIC DECAY; COUPLING CONSTANTS; RHO-770 MESONS; OMEGA-783 MESONS; B1-1235 MESONS; MASS SPECTRA; MESON SPECTROSCOPY; SPECTRAL FUNCTIONS; PARTICLE WIDTHS; HADRONIC ...; 662240; MODELS FOR STRONG INTERACTIONS
OSTI ID:
10153389
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE94769080; TRN: DE94F7256
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
68 p.
Announcement Date:
Jul 06, 2005

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Citation Formats

Ali Khan, A, Goeckeler, M, Horsley, R, Schierholz, G, Rakow, P E.L., and Stueben, H. Spectroscopy and renormalisation group flow of a lattice Nambu-Jona-Lasinio model. Germany: N. p., 1993. Web.
Ali Khan, A, Goeckeler, M, Horsley, R, Schierholz, G, Rakow, P E.L., & Stueben, H. Spectroscopy and renormalisation group flow of a lattice Nambu-Jona-Lasinio model. Germany.
Ali Khan, A, Goeckeler, M, Horsley, R, Schierholz, G, Rakow, P E.L., and Stueben, H. 1993. "Spectroscopy and renormalisation group flow of a lattice Nambu-Jona-Lasinio model." Germany.
@misc{etde_10153389,
title = {Spectroscopy and renormalisation group flow of a lattice Nambu-Jona-Lasinio model}
 author = {Ali Khan, A, Goeckeler, M, Horsley, R, Schierholz, G, Rakow, P E.L., and Stueben, H}
 abstractNote = {We investigate a lattice Nambu-Jona-Lasinio model both by the Monte Carlo method and Schwinger-Dyson equations. A comparison allows the discussion of finite size effects and the extrapolation to infinite volume. We pay special attention to the identification of particles and resonances. This enables us to discuss renormalisation group flows in the neighbourhood of the critical coupling where the chiral symmetry breaking phase transition takes place. In no region of the bare parameter space do we find renormalisability for the model. (orig.)}
 place = {Germany}
 year = {1993}
 month = {Dec}
 }