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Freedom Now: A New Look at the Impulse Approximation

  • H. David Politzer
Chapter
  • 43 Downloads
Part of the Studies in the Natural Sciences book series (SNS, volume 11)

Abstract

Recent work on a field-theoretic impulse approximation is described. The operator product expansion is organized according to powers of g(Q2), the effective coupling constant appropriate to momentum transfer Q2, instead of asymptotic dimensional analysis. This allows the calculation of all quark and target mass dependence of lepton-hadron inclusive scattering, order by order in g(Q2). To O(g°), there is scaling in a mass dependent variable, ξ. The correct incorporation of quark masses into the renormalization group analysis is presented; the consequences include the relation of constituent masses to current algebra and the magnitude and shapes of the parton distribution functions for gluons, antiquarks, and heavy quarks.

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References

  1. 1.
    H. Georgi and H. D. Politzer, “Precocious Scaling, Re-Scaling, and c-Scaling,” and “Freedom at Moderate Energies: Masses in Color Dynamics” (Harvard preprints).Google Scholar
  2. 2.
    H. D. Politzer, Physics Reports 14C, 130 (1974) and references therein.Google Scholar
  3. 3.
    T. Appelquist and H. D. Politzer, Phys. Rev. Lett. 34, 43, (1975) and Phys. Rev. D12, 1404, (1975).Google Scholar
  4. 4.
    E. Witten has an alternative but essentially equivalent derivation of these results (to be published) based on an expansion in 1/mH2.Google Scholar
  5. 5.
    T. Appelquist and J. Carazzone, Phys. Rev. Dll 2856, (1975).Google Scholar

Copyright information

© Plenum Press, New York 1976

Authors and Affiliations

  • H. David Politzer
    • 1
    • 2
  1. 1.Lyman LaboratoryHarvard UniversityCambridgeUSA
  2. 2.Harvard University Society of FellowsUSA

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