Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.
Momentum-space entanglement and renormalization in quantum field theory
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abstract
The degrees of freedom of any interacting quantum field theory are entangled in momentum space. Thus, in the vacuum state, the infrared degrees of freedom are described by a density matrix with an entanglement entropy. We derive a relation between this density matrix and the conventional Wilsonian effective action. We argue that the entanglement entropy of and mutual information between subsets of field theoretic degrees of freedom at different momentum scales are natural observables in quantum field theory and demonstrate how to compute these in perturbation theory. The results may be understood heuristically based on the scale-dependence of the coupling strength and number of degrees of freedom. We measure the rate at which entanglement between degrees of freedom declines as their scales separate and suggest that this decay is related to the property of decoupling in quantum field theory.
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An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.
In perturbative relativistic 2→2 scattering the concurrence of the traced-out qubit density matrix depends at leading order on the real part of the inelastic forward amplitude.
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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Schwinger-Keldysh Path Integral for Gauge theories
Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.
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Symmetry-Resolved Entanglement Entropy from Heat Kernels
An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.
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Qubit entanglement from forward scattering
In perturbative relativistic 2→2 scattering the concurrence of the traced-out qubit density matrix depends at leading order on the real part of the inelastic forward amplitude.
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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.