Axial anomalies realize in flux detectors as massless-limit collapse of angular distributions onto beam-collinear deltas while preserving the integrated anomaly sum rule, with the same mechanism for zilch and mixed gravitational channels.
Averaged null energy and the renormalization group
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We establish a connection between the averaged null energy condition (ANEC) and the monotonicity of the renormalization group, by studying the light-ray operator $\int du T_{uu}$ in quantum field theories that flow between two conformal fixed points. In four dimensions, we derive an exact sum rule relating this operator to the Euler coefficient in the trace anomaly, and show that the ANEC implies the a-theorem. The argument is based on matching anomalies in the stress tensor 3-point function, and relies on special properties of contact terms involving light-ray operators. We also illustrate the sum rule for the example of a free massive scalar field. Averaged null energy appears in a variety of other applications to quantum field theory, including causality constraints, Lorentzian inversion, and quantum information. The quantum information perspective provides a new derivation of the $a$-theorem from the monotonicity of relative entropy. The equation relating our sum rule to the dilaton scattering amplitude in the forward limit suggests an inversion formula for non-conformal theories.
representative citing papers
C, F and A theorems are proven in de Sitter using strong subadditivity of entanglement entropy, de Sitter invariance, and the Markov property of CFT for RG flows from UV CFTs.
Review of classical energy conditions, their quantum violations, and information-theoretic bounds for semi-classical gravity, based on Modave lectures.
citing papers explorer
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Anomaly Realization in Charge-Flux Detector Correlators
Axial anomalies realize in flux detectors as massless-limit collapse of angular distributions onto beam-collinear deltas while preserving the integrated anomaly sum rule, with the same mechanism for zilch and mixed gravitational channels.
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Irreversibility of quantum field theory in de Sitter: the C, F and A theorems
C, F and A theorems are proven in de Sitter using strong subadditivity of entanglement entropy, de Sitter invariance, and the Markov property of CFT for RG flows from UV CFTs.
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Modave lectures on energy conditions in quantum field theory and semi-classical gravity
Review of classical energy conditions, their quantum violations, and information-theoretic bounds for semi-classical gravity, based on Modave lectures.