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Gauge dependence of the renormalization-group functions in quantum chromodynamics

Gauge dependence of the renormalization-group functions in quantum chromodynamics The gauge dependence of the renormalization-group (RG) functions in the momentum-space subtraction scheme is systematically studied in quantum chromodynamics. Fixed-gauge RG equations satisfied by physical quantities are found to be useful because we can treat the gauge parameter as a pure number in the solution. In massless quark theory, the first two coefficients of the β function which appear in the fixed-gauge RG equation are found to be gauge independent and coincide with those of the minimal-subtraction β function. Higher-order coefficients are gauge dependent and we calculate the third coefficient in a special momentum-subtraction scheme of Braaten and Leveille. In massive quark theory, even the first coefficients are in general gauge dependent. We present an algorithm to calculate these coefficients in an arbitrary momentum-space subtraction scheme. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Gauge dependence of the renormalization-group functions in quantum chromodynamics

Physical Review D , Volume 26 (8) – Oct 15, 1982
10 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1982 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.26.2038
Publisher site
See Article on Publisher Site

Abstract

The gauge dependence of the renormalization-group (RG) functions in the momentum-space subtraction scheme is systematically studied in quantum chromodynamics. Fixed-gauge RG equations satisfied by physical quantities are found to be useful because we can treat the gauge parameter as a pure number in the solution. In massless quark theory, the first two coefficients of the β function which appear in the fixed-gauge RG equation are found to be gauge independent and coincide with those of the minimal-subtraction β function. Higher-order coefficients are gauge dependent and we calculate the third coefficient in a special momentum-subtraction scheme of Braaten and Leveille. In massive quark theory, even the first coefficients are in general gauge dependent. We present an algorithm to calculate these coefficients in an arbitrary momentum-space subtraction scheme.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Oct 15, 1982

There are no references for this article.