The four-loop DRED gauge β-function and fermion mass anomalous dimension for general gauge groups
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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In continuum field theory, it has been discussed that chiral gauge theories with Weyl fermions in anomalous gauge representations (anomalous gauge theories) can consistently be quantized, provided that some of gauge bosons are permitted to acquire mass. Such theories in four dimensions are inevitablly non-renormalizable and must be regarded as a low-energy effective theory with a finite ultravi...
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We calculate the three loop gauge β-function for an abelian N = 1 supersymmetric gauge theory, using DRED. We construct a coupling constant redefinition that relates the result to the corresponding term in the NSVZ β-function, and by generalising this redefinition to the non-abelian case we derive the DRED three loop gauge β-function for the non-abelian case.
متن کاملThe Four-Loop QCD β-Function and Anomalous Dimensions
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.
متن کاملFour-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants
The renormalization constants of the gauge boson (gluon), ghost and fermion fields are analytically computed as well as those for the ghost-gluon vertex, the fermion-gluon vertex and the fermion mass. All other renormalization constants can be derived from these. Some of these results were already produced in Feynman gauge for the computation of the β-function of this model, which was recently ...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2007
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2007/09/058