Renormalization scheme dependence and the renormalization group beta function

Renormalization scheme dependence and the renormalization group beta function The renormalization that relates a coupling “a” associated with a distinct renormalization group beta function in a given theory is considered. Dimensional regularization and mass independent renormalization schemes are used in this discussion. It is shown how the renormalization a*=a+x2a2 is related to a change in the mass scale μ that is induced by renormalization. It is argued that the infrared fixed point is to be a determined in a renormalization scheme in which the series expansion for a physical quantity R terminates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Renormalization scheme dependence and the renormalization group beta function

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Renormalization scheme dependence and the renormalization group beta function

Abstract

The renormalization that relates a coupling “a” associated with a distinct renormalization group beta function in a given theory is considered. Dimensional regularization and mass independent renormalization schemes are used in this discussion. It is shown how the renormalization a*=a+x2a2 is related to a change in the mass scale μ that is induced by renormalization. It is argued that the infrared fixed point is to be a determined in a renormalization scheme in which the series expansion for a physical quantity R terminates.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.95.116013
Publisher site
See Article on Publisher Site

Abstract

The renormalization that relates a coupling “a” associated with a distinct renormalization group beta function in a given theory is considered. Dimensional regularization and mass independent renormalization schemes are used in this discussion. It is shown how the renormalization a*=a+x2a2 is related to a change in the mass scale μ that is induced by renormalization. It is argued that the infrared fixed point is to be a determined in a renormalization scheme in which the series expansion for a physical quantity R terminates.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jun 1, 2017

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