Banks-Zaks fixed point analysis in momentum subtraction schemes

Gracey, JA ORCID: 0000-0002-9101-2853 and Simms, RM (2015) Banks-Zaks fixed point analysis in momentum subtraction schemes Physical Review D Particles Fields Gravitation and Cosmology, 91 (8). 085037-. ISSN 1550-7998, 1550-2368

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Abstract

We analyze the critical exponents relating to the quark mass anomalous dimension and β-function at the Banks-Zaks fixed point in quantum chromodynamics in a variety of representations for the quark in the momentum subtraction schemes of Celmaster and Gonsalves. For a specific range of values of the number of quark flavors, estimates of the exponents appear to be scheme independent. Using the recent five-loop modified minimal subtraction scheme, quark mass anomalous dimension, and estimates of the fixed point location, we estimate the associated exponent as 0.263-0.268 for the SU(3) color group and 12 flavors when the quarks are in the fundamental representation.

Item Type:	Article
Additional Information:	33 latex pages, 25 tables, anc directory contains txt file with electronic version of renormalization group functions
Uncontrolled Keywords:	hep-ph, hep-ph, hep-lat
Depositing User:	Symplectic Admin
Date Deposited:	11 Apr 2016 12:13
Last Modified:	24 Jan 2026 00:25
DOI:	10.1103/PhysRevD.91.085037
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3000200
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