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Singularity structure of a model quark propagator

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dc.contributor.authorBurden, Conrad J.en
dc.contributor.authorRoberts, Craig D.en
dc.contributor.authorWilliams, Anthony G.en
dc.date.accessioned2026-01-02T13:42:06Z
dc.date.available2026-01-02T13:42:06Z
dc.date.issued1992-07-16en
dc.description.abstractA model Schwinger-Dyson equation for the fermion self-energy is solved for both spacelike and timelike momenta. The singularity structure of the quark propagator obtained as a solution of this equation is studied. It is found to be an entire function (except for an essential singularity at p2 = -∞; timelike in our metric): a property that may be indicative of confinement. The absence of singularities is a non-trivial feature that arises only as a result of the cancellation of zeros in the numerator and denominator of the propagator.en
dc.description.sponsorshipWe are grateful to H. Munczek for comments made in connection with an early draft of this manuscript. The work of C.D.R. was supported by the Department of Energy, Nuclear Physics Division, under contract number W-31-109-ENG-38. The work of A.G.W. was supported by the Department of Energy through Contract No. DE-FG05-86ER40273 and by the Florida State University Supercomputer Computations Research Institute which is partially funded by the Department of Energy through Contract No. DE-FC05-85ER250000.en
dc.description.statusPeer-revieweden
dc.format.extent7en
dc.identifier.issn0370-2693en
dc.identifier.otherORCID:/0000-0003-0015-319X/work/167650888en
dc.identifier.scopus0001325519en
dc.identifier.urihttps://hdl.handle.net/1885/733802816
dc.language.isoenen
dc.sourcePhysics Letters Ben
dc.titleSingularity structure of a model quark propagatoren
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage353en
local.bibliographicCitation.startpage347en
local.contributor.affiliationBurden, Conrad J.; Mathematical Sciences Institute Administration, Mathematical Sciences Institute, ANU College of Systems and Society, The Australian National Universityen
local.contributor.affiliationRoberts, Craig D.; Argonne National Laboratoryen
local.contributor.affiliationWilliams, Anthony G.; Florida State Universityen
local.identifier.citationvolume285en
local.identifier.doi10.1016/0370-2693(92)91516-Cen
local.identifier.purefa6ef815-71a1-478e-a83a-13a0370882a6en
local.identifier.urlhttps://www.scopus.com/pages/publications/0001325519en
local.type.statusPublisheden

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