Scheme and gauge dependence of QCD fixed points at five loops

被引:7
作者
Gracey, J. A. [1 ]
Mason, R. H. [1 ]
Ryttov, Thomas A. [2 ]
Simms, R. M. [1 ]
机构
[1] Univ Liverpool, Dept Math Sci, Theoret Phys Div, POB 147, Liverpool L69 3BX, England
[2] Univ Southern Denmark, CP3 Origins, Campusvej 55, DK-5230 Odense M, Denmark
基金
英国工程与自然科学研究理事会;
关键词
BACKGROUND FIELD METHOD; GLUON GREEN-FUNCTIONS; BETA-FUNCTION; ANOMALOUS DIMENSION; QUARK MASS; QUANTUM-CHROMODYNAMICS; ULTRAVIOLET BEHAVIOR; ASYMPTOTIC-BEHAVIOR; RENORMALIZATION; INVARIANT;
D O I
10.1103/PhysRevD.108.045006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We analyze the fixed points of QCD at high loop order in a variety of renormalization schemes and gauges across the conformal window. We observe that in the minimal momentum subtraction scheme solutions for the Banks-Zaks fixed point persist for values of Nf below that of the MS scheme in the canonical linear covariant gauge. By treating the parameter of the linear covariant gauge as a second coupling constant we confirm the existence of a second Banks-Zaks twin critical point, which is infrared stable, to five loops. Moreover a similar and parallel infrared stable fixed point is present in the CurciFerrari and maximal Abelian gauges which persists in different schemes including kinematic ones. We verify that with the increased available loop order, critical exponent estimates show an improvement in convergence and agreement in the various schemes.
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页数:31
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