Modular Witten diagrams reproduce the O(λ² G_N) correction to holographic entanglement entropy, matching the canonical energy term in the quantum Ryu-Takayanagi formula with wedge shape deformation.
Entanglement Entropy: A Perturbative Calculation
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abstract
We provide a framework for a perturbative evaluation of the reduced density matrix. The method is based on a path integral in the analytically continued spacetime. It suggests an alternative to the holographic and `standard' replica trick calculations of entanglement entropy. We implement this method within solvable field theory examples to evaluate leading order corrections induced by small perturbations in the geometry of the background and entangling surface. Our findings are in accord with Solodukhin's formula for the universal term of entanglement entropy for four dimensional CFTs.
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Links amplitude positivity to S-matrix entanglement consistency for flavored states, analyzes disentanglers, and introduces wave-packet regularization for entanglement expressions.
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Modular Witten Diagrams and Quantum Extremality
Modular Witten diagrams reproduce the O(λ² G_N) correction to holographic entanglement entropy, matching the canonical energy term in the quantum Ryu-Takayanagi formula with wedge shape deformation.
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Positivity in Amplitudes and Quantum Entanglement
Links amplitude positivity to S-matrix entanglement consistency for flavored states, analyzes disentanglers, and introduces wave-packet regularization for entanglement expressions.