On Renormalization Group Flows in Four Dimensions
- đ¤ Speaker: Zohar Komargodski (IAS & Weizmann Institute of Science)
- đ Date & Time: Thursday 13 October 2011, 13:00 - 14:00
- đ Venue: Potter Room (first floor, Pav. B)
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.
Series This talk is part of the Quantum Fields and Strings Seminars series.
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Zohar Komargodski (IAS & Weizmann Institute of Science)
Thursday 13 October 2011, 13:00-14:00