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Conformal Anomalies -- Recent Progress
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We present a brief review of some recent results on conformal anomalies in four and more dimensions. The discussion is intended for relativists, so some background on the quantum origin of anomalies and of their simple properties in D=2 is also provided. Topics treated include a critical review of the effective gravitational action uniqueness problem and the derivation of beta functions, independent of ultraviolet behavior, from the type B anomaly.
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Analyticity Constraints and Trace Anomaly Matching
Type A and type B trace anomalies are shown to match between the unbroken and spontaneously broken phases of conformal field theories, with new dispersive sum rules constraining dilaton couplings to massive states.
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