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Freedom at moderate energies: Masses in color dynamics

Georgi, Howard and Politzer, H. David (1976) Freedom at moderate energies: Masses in color dynamics. Physical Review D, 14 (7). pp. 1829-1848. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:GEOprd76

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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 ξ≠x, which depends on Q2 and the quark and target masses. We also discuss the distribution of antiquarks and heavy quarks in the nucleon.


Item Type:Article
Additional Information:©1976 The American Physical Society. Received 2 February 1976. One of us (H.D.P.) would like to thank M. Gell-Mann for many stimulating and helpful conversations regarding quark masses. And we would like to thank G.C. Fox and P. Frampton for pointing out an error in our original formula for ζ and suggesting the parton-language derivation. Work supported in part by the Harvard University Society of Fellows. Work supported in part by the National Science Foundation under Grant No. MPS75-20427.
Record Number:CaltechAUTHORS:GEOprd76
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GEOprd76
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.14.1829
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6418
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Dec 2006
Last Modified:26 Dec 2012 09:21

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