On Renormalization Group Flows in Four Dimensions

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• Zohar Komargodski (IAS & Weizmann Institute of Science)
• Thursday 13 October 2011, 13:00-14:00
• Potter Room (first floor, Pav. B).

If you have a question about this talk, please contact Sungjay Lee.

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.

This talk is part of the Quantum Fields and Strings Seminars series.

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