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

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Because 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 ... continued below

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7 pages

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Brodsky, Stanley J. & Shrock, Robert August 1, 2008.

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Because 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{sub f} of massless fermions.

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7 pages

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  • Journal Name: Phys.Lett.B666:95-99,2008; Journal Volume: 666

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  • Report No.: SLAC-PUB-13246
  • Grant Number: AC02-76SF00515
  • DOI: 10.1016/j.physletb.2008.06.054 | External Link
  • Office of Scientific & Technical Information Report Number: 935697
  • Archival Resource Key: ark:/67531/metadc898805

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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • August 1, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • July 25, 2017, 3:33 p.m.

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Brodsky, Stanley J. & Shrock, Robert. Maximal Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics, article, August 1, 2008; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc898805/: accessed December 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.