On renormalization group flows in four dimensions View Full Text


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Article Info

DATE

2011-12

AUTHORS

Zohar Komargodski, Adam Schwimmer

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 element 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. More... »

PAGES

99

References to SciGraph publications

  • 2003-11-08. Central charges and U(1)R symmetries in 𝒩 = 1 super Yang-Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-01. Holographic c-theorems in arbitrary dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-10-04. Causality, analyticity and an IR obstruction to UV completion in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. A bound on the superpotential in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-06. Towards the F-theorem: field theories on the three-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-05-06. Conformal collider physics: energy and charge correlations in JOURNAL OF HIGH ENERGY PHYSICS
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