RG flows in d dimensions, the dilaton effective action, and the a-theorem

被引：0
作者：
Henriette Elvang
Timothy M. Olson
机构：
[1] University of Michigan,Randall Laboratory of Physics, Department of Physics
来源：
Journal of High Energy Physics | / 2013卷
关键词：
Field Theories in Higher Dimensions; Anomalies in Field and String Theories; Renormalization Group;
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摘要：
Motivated by the recent dilaton-based proof of the 4d a-theorem, we study the dilaton effective action for RG flows in d dimensions. When d is even, the action consists of a Wess-Zumino (WZ) term, whose Weyl-variation encodes the trace-anomaly, plus all Weyl-invariants. For d odd, the action consists of Weyl-invariants only. We present explicit results for the flat-space limit of the dilaton effective action in d-dimensions up to and including 8-derivative terms. GJMS-operators from conformal geometry motivate a form of the action that unifies the Weyl-invariants and anomaly-terms into a compact general-d structure.
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