Four-loop β function and mass anomalous dimension in dimensional reduction
نویسندگان
چکیده
منابع مشابه
NSF - KITP - 06 - 86 Four - loop β function and mass anomalous dimension in Dimensional Reduction
Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the DR scheme and put special emphasis on the additional couplings which have to be taken into account. This concerns the ε-scalar–quark Yukawa coupling as well as the vertex containing four ε-scalars. For a supersymmetric Yang Mills theory, we find, in cont...
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The four-loop β-function of quantum chromodynamics is calculated and agreement is found with the previous result. The anomalous dimensions of the quark-gluon vertex, and quark, gluon and ghost fields are given for a general compact simple Lie group.
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Freddy Cachazo, ∗ Marcus Spradlin, † and Anastasia Volovich ‡ Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2J 2W9, Canada Brown University, Providence, Rhode Island 02912, USA Abstract We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes inN = 4 Yang-Mills without evaluating any integrals that depend on the kinematical invari...
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The analytic calculation of the three-loop QCD β-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented. The result for the β-function coincides with the previous calculation [1]. on leave from Institute for Nuclear Research (INR) of the Russian Academy of Sciences, Moscow 117312, USSR.
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We present an expression for the leading-color (planar) four-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 − 2ǫ dimensions, in terms of eight separate integrals. The expression is based on consistency of unitarity cuts and infrared divergences. We expand the integrals around ǫ = 0, and obtain analytic expressions for the poles from 1/ǫ8 through 1/ǫ4. We give numerical...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2006
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2006/12/024