On renormalization group flows in four dimensions
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Publication:2261231
DOI10.1007/JHEP12(2011)099zbMATH Open1306.81140arXiv1107.3987WikidataQ56580447 ScholiaQ56580447MaRDI QIDQ2261231
Author name not available (Why is that?)
Publication date: 6 March 2015
Published in: (Search for Journal in Brave)
Abstract: We discuss some general aspects of renormalization group flows in four dimensions. Every such flow can be reinterpreted in terms of a spontaneously broken conformal symmetry. We analyze in detail the consequences of trace anomalies for the effective action of the Nambu-Goldstone boson of broken conformal symmetry. While the c-anomaly is algebraically trivial, the a-anomaly is "non-Abelian," and leads to a positive-definite universal contribution to the S-matrix of 2->2 dilaton scattering. Unitarity of the S-matrix results in a monotonically decreasing function that interpolates between the Euler anomalies in the ultraviolet and the infrared, thereby establishing the a-theorem.
Full work available at URL: https://arxiv.org/abs/1107.3987
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