Comment on the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math></span> function for quantum chromodynamics

P. D. Morley; D. E. L. Pottinger

doi:10.1103/PhysRevD.26.3741

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Comment on the $β$ function for quantum chromodynamics

P. D. Morley

D. E. L. Pottinger

Center for Particle Theory, The University of Texas at Austin, Austin, Texas 78712

Department of Natural Philosophy, The University of Glasgow, Glasgow G12 8QQ, Scotland

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Phys. Rev. D 26, 3741 – Published 15 December, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.3741

Abstract

By relating the bare and renormalized coupling constants in QCD in dimensional regularization by a general Laurent expansion, we are able to construct a renormalization scheme whose $β$ function consists of exactly one term. This term coincides with the one-loop term found in conventional treatments. The theorem of 't Hooft (the scheme independence of the first two terms in the $β$ function) is circumvented by using a nonanalytic coupling-constant transformation.

References (3)

S. Adler, Phys. Rev. D 23, 2905 (1981), Appendix B
G. 't Hooft, Nucl. Phys. B61, 455 (1973)
D. Pottinger (unpublished)

[c1] S. Adler, Phys. Rev. D 23, 2905 (1981), Appendix B

[c2] G. 't Hooft, Nucl. Phys. B61, 455 (1973)

[c3] D. Pottinger (unpublished)

Physical Review D

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Comment on the $β$ function for quantum chromodynamics

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Comment on the β function for quantum chromodynamics

Abstract

References (3)

Comment on the $β$ function for quantum chromodynamics