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26 April 2024
 
  » arxiv » nucl-th/9807056

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Infrared Behaviour of Propagators and Vertices
Frederick T. Hawes ; Pieter Maris ; Craig D. Roberts ;
Date 22 Jul 1998
Journal Phys.Lett. B440 (1998) 353-358
Subject nucl-th hep-lat hep-ph
AbstractWe elucidate constraints imposed by confinement and dynamical chiral symmetry breaking on the infrared behaviour of the dressed-quark and -gluon propagators, and dressed-quark-gluon vertex. In covariant gauges the dressing of the gluon propagator is completely specified by P(k^2):= 1/[1+Pi(k^2)], where Pi(k^2) is the vacuum polarisation. In the absence of particle-like singularities in the dressed-quark-gluon vertex, extant proposals for the dressed-gluon propagator that manifest P(k^2=0)=0 and Max[P(k^2)]~10 neither confine quarks nor break chiral symmetry dynamically. This class includes all existing estimates of P(k^2) via numerical simulations.
Source arXiv, nucl-th/9807056
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