2003/04/01 by Paul Hoyer, Hoyer, Paul, Stéphane Peigné +2 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0304010
17 pages, latex, 10 eps figures
arxiv created 2003/04/01 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
A condensate of \pvec = 0 partons in the perturbative vacuum gives rise to a term ∝δ4(p) in the free PQCD propagators. The leading condensate contribution to the quark propagator can be exactly summed since there is a factor δ4(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 → ∞. 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.