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Light-ray sum rules and the c-anomaly

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arxiv 2405.10137 v1 pith:VFYLXHKA submitted 2024-05-16 hep-th hep-ph

Light-ray sum rules and the c-anomaly

classification hep-th hep-ph
keywords deltaanomalyenergyfixednullresultruleaverage
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

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

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories

    hep-th 2026-07 conditional novelty 7.0

    Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.

  2. Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory

    hep-th 2025-08 unverdicted novelty 2.0

    Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.