Consistency of local renormalization group in d=3

Creators: Nakayama, Yu

Abstract

We discuss Weyl anomaly and consistency conditions of local renormalization group in d=1+2d=1+2 dimensional quantum field theories. We give a classification of the consistency conditions and ambiguities in most generality within the power-counting renormalization scheme. They provide many non-trivial constraints on possible forms of beta functions, anomalous dimensions and Weyl anomaly of general d=1+2d=1+2 dimensional quantum field theories. We perform modest checks of our results in conformal perturbation theories, supersymmetric field theories and holographic computations.

Additional Information

© 2013 The Author. Published by Elsevier B. V. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Funded by SCOAP3. Received 5 August 2013; accepted 4 December 2013; Available online 7 December 2013. The author would like to thank H. Osborn for discussions and sharing his note. He would like to thank CERN theory division and APCTP for hospitality where the current research was developed. He in particular thanks organizers of the wonderful workshops there. This work is supported by Sherman Fairchild Senior Research Fellowship at California Institute of Technology and DOE grant DE-FG02-92ER40701.

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