Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFTReport as inadecuate




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Journal of High Energy Physics

, 2017:109

First Online: 24 July 2017Received: 15 March 2017Revised: 09 July 2017Accepted: 17 July 2017 Abstract

In this paper we consider ϕ theory in 4 − ϵ dimensions at the Wilson-Fisher fixed point where the theory becomes conformal. We extend the method in 1 for calculating the leading order term in the anomalous dimensions of some operators with spin. This method involves mostly symmetry arguments and reduces the process for calculating anomalous dimensions to some Wick contractions in the corresponding free theory. We apply this method in the case of operators with two and three fields whose twist is equal to the number of fields they contain, and we rederive known results for their anomalous dimensions. We also calculate the leading term in the anomalous dimensions of operators with spin two and three. In addition, we find expressions for the primary operators of the free theory, for arbitrary spin and number of fields, whose twist remains equal to the number of fields.

KeywordsConformal and W Symmetry Conformal Field Theory ArXiv ePrint: 1612.08115

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Author: Konstantinos Roumpedakis

Source: https://link.springer.com/



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