Singularity structure of a model quark propagator

Conrad J. Burden; Craig D. Roberts; Anthony G. Williams

doi:10.1016/0370-2693(92)91516-C

Singularity structure of a model quark propagator

Conrad J. Burden^*
, Craig D. Roberts
, Anthony G. Williams

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

96 Citations (Scopus)

Abstract

A 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.

Original language	English
Pages (from-to)	347-353
Number of pages	7
Journal	Physics Letters B
Volume	285
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(92)91516-C
Publication status	Published - 16 Jul 1992

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abstract = "A 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.",

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AU - Burden, Conrad J.

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AU - Williams, Anthony G.

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N2 - A 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.

AB - A 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.

UR - https://www.scopus.com/pages/publications/0001325519

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DO - 10.1016/0370-2693(92)91516-C

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SN - 0370-2693

VL - 285

SP - 347

EP - 353

JO - Physics Letters B

JF - Physics Letters B

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ER -

Singularity structure of a model quark propagator

Abstract

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