Freedom at moderate energies: Masses in color dynamics

Howard Georgi and H. David Politzer
Phys. Rev. D 14, 1829 – Published 1 October 1976
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Abstract

We discuss the effects of quark and target masses in inclusive lepton-hadron scattering, assuming a color SU(3) gauge theory of strong interactions. Our tools are the renormalization group, suitably extended to include quark masses, and the operator-product expansion. We argue that the best renormalization procedure is to specify all parameters in the Lagrangian (coupling constants and masses) as well as wave-function normalizations at Euclidean momenta of scale M. We use the renormalization group to develop an understanding of the relation between current-algebra and constituent-quark masses. In the operator-product expansion, we use the equations of motion to eliminate operators with D, D2, etc. acting on a quark field. We order the expansion as a power series in the gauge coupling constant as it occurs in the coefficient functions. We predict approximate scaling in a new variable ξx, which depends on Q2 and the quark and target masses. We also discuss the distribution of antiquarks and heavy quarks in the nucleon.

  • Received 2 February 1976

DOI:https://doi.org/10.1103/PhysRevD.14.1829

©1976 American Physical Society

Authors & Affiliations

Howard Georgi* and H. David Politzer*

  • Lyman Laboratory, Harvard University, Cambridge, Massachusetts 02138

  • *Work supported in part by Harvard University Society of Fellows.

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Issue

Vol. 14, Iss. 7 — 1 October 1976

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