Towards a mapping of the marginal : readings of art songs by Nigerian, Ghanaian, Egyptian and South African composers

1993/09/30 by Frederick T. Hawes, Craig D. Roberts, Anthony G. Williams +1 · 13 citations
Arts and Humanities · Physics and Astronomy · #Ansatz #Anthropology #Art #Black Holes and Theoretical Physics #Chiral symmetry breaking #Color confinement #Combinatorics #Diverse Musicological Studies #Geography #Gluon #Hadron #Mathematical physics #Music History and Culture #Musicology and Musical Analysis #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Sociology #Symmetry breaking #Vertex (graph theory) #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.49.4683

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 49(9), 4683-4693 (American Physical Society) · 21 Pages including 4 PostScript figures uuencoded at the end of the file. Replacement: slight changes of wording and emphasis. ADP-93-215/T133, ANL-PHY-7599-TH-93, FSU-SCRI-93-108, REVTEX 3.0

arxiv created 1994/01/18 · openalex publication_date 2013/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/28

Abstract

We study a model Dyson-Schwinger equation for the quark propagator closed using an Ansatz for the gluon propagator of the form D(q)\ensuremath∼q²/[(q²)²+b⁴] and two Ansauml---tze for the quark-gluon vertex: the minimal Ball-Chiu form and the modified form suggested by Curtis and Pennington. Using the quark condensate as an order parameter, we find that there is a critical value of b=b_c such that the model does not support dynamical chiral symmetry breaking for b>b_c. We discuss and apply a confinement test which suggests that, for all values of b, the quark propagator in the model is not confining. Together these results suggest that this Ansatz for the gluon propagator is inadequate as a model since it does not yield the expected behavior of QCD.

Citations

• Gauge covariance and the fermion-photon vertex in three- and four-dimensional, massless quantum electrodynamics
• π−πscattering in a QCD-based model field theory
• TheSMatrix in Quantum Electrodynamics

Cited by

• Dynamical chiral symmetry breaking in effective models of QCD in the Bethe-Salpeter approach
• Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations
• Analysis of a quenched lattice-QCD dressed-quark propagator
• Aspects and consequences of a dressed-quark-gluon vertex
• Survey of heavy-meson observables
• Concerning the quark condensate
• Temperature dependence of the effective bag constant and the radius of a nucleon in the global color symmetry model of QCD
• Perspective on the Origin of Hadron Masses
• Quark number fluctuations at finite temperature and finite chemical potential via the Dyson-Schwinger equation approach