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.
Comments on Trace Anomaly Matching
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abstract
The structure of type A and B trace anomalies is reanalyzed in terms of the universal behaviour of dimension -2 invariant amplitudes. Based on it a general argument for trace anomaly matching between the unbroken and broken phases of a CFT is given. The structure of moduli trace anomalies and their transformations under source reparametrizations is discussed in detail.
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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.