Dressing the Quark with QCD Condensates

dc.creatorHoyer, Paul
dc.creatorPeigne, Stephane
dc.date2003-04-01
dc.date.accessioned2026-07-25T18:47:32Z
dc.descriptionA condensate of $\pvec = 0$ partons in the perturbative vacuum gives rise to a term $\proptoδ^4(p)$ in the free PQCD propagators. The leading condensate contribution to the quark propagator can be exactly summed since there is a factor $δ^4(p)$ associated to each loop. We calculate the dressed quark propagator in the presence of either a gluon or a quark condensate, for a number of colors $N \to \infty$. The dressed quark propagator satisfies a Dyson-Schwinger type equation which can be exactly solved within our framework. In the case of a gluon condensate the dressed quark propagator has no pole, hence quarks cannot appear in asymptotic states, and moreover the DS equation has a solution which spontaneously breaks chiral symmetry. We also calculate the dressed quark-photon vertex and verify that the corresponding Ward-Takahashi identity is satisfied, and that the dressed self-energy correction to the photon propagator does not shift the physical photon pole.
dc.description17 pages, latex, 10 eps figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0304010
dc.identifierhttp://arxiv.org/abs/hep-ph/0304010
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/58598
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDressing the Quark with QCD Condensates
dc.typetext

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