Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics

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dc.creatorBrodsky, Stanley J.
dc.creatorShrock, Robert
dc.date2008-06-09
dc.date.accessioned2026-07-07T11:51:31Z
dc.date.available2026-07-07T11:51:31Z
dc.descriptionBecause quarks and gluons are confined within hadrons, they have a maximum wavelength of order the confinement scale. Propagators, normally calculated for free quarks and gluons using Dyson-Schwinger equations, are modified by bound-state effects in close analogy to the calculation of the Lamb shift in atomic physics. Because of confinement, the effective quantum chromodynamic coupling stays finite in the infrared. The quark condensate which arises from spontaneous chiral symmetry breaking in the bound state Dyson-Schwinger equation is the expectation value of the operator $\bar q q$ evaluated in the background of the fields of the other hadronic constituents, in contrast to a true vacuum expectation value. Thus quark and gluon condensates reside within hadrons. The effects of instantons are also modified. We discuss the implications of the maximum quark and gluon wavelength for phenomena such as deep inelastic scattering and annihilation, the decay of heavy quarkonia, jets, and dimensional counting rules for exclusive reactions. We also discuss implications for the zero-temperature phase structure of a vectorial SU($N$) gauge theory with a variable number $N_f$ of massless fermions.
dc.description6 pages, latex
dc.identifierhttps://arxiv.org/abs/0806.1535
dc.identifierhttp://arxiv.org/abs/0806.1535
dc.identifierPhys.Lett.B666:95-99,2008
dc.identifierdoi:10.1016/j.physletb.2008.06.054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203926
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleMaximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
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