Light-ray sum rules and the c-anomaly

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Abstract
A bstract: In a four-dimensional quantum field theory that flows between two fixed points under the renormalization group, the change in the conformal anomaly ∆ a has been related to the average null energy. We extend this result to derive a sum rule for the other anomaly coefficient, ∆ c , in terms of the stress tensor three-point function. While the sum rule for ∆ a is an expectation value of the averaged null energy operator, and therefore positive, the result for ∆ c involves the off-diagonal matrix elements, so it does not have a fixed sign.

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