UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond

Details UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond

2010-11-26

arxiv.org/abs/1011.5917v1

Phys.Rev.D83:035013,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX, 8 pages, 6 figures

Scientific paper

10.1103/PhysRevD.83.035013

We unveil the general features of the phase diagram for any gauge theory with fermions transforming according to distinct representations of the underlying gauge group, at the four-loop order. We classify and analyze the zeros of the perturbative beta function and discover the existence of a rich phase diagram. The anomalous dimension of the fermion masses, at the infrared stable fixed point, are presented. We show that the infrared fixed point, and associated anomalous dimension, are well described by the all-orders beta function for any theory. We also argue the possible existence, to all orders, of a nontrivial ultraviolet fixed point for gauge theories at large number of flavors.

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