Replica wormholes in the gravitational path integral yield the island rule for the fine-grained entropy of Hawking radiation, ensuring it follows the unitary Page curve in two-dimensional dilaton gravity.
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Entanglement entropy in free quantum field theory
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In this review we first introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real time formalisms. Then we describe the particular examples which have been worked out explicitly in two, three and more dimensions.
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A hierarchy of approximations to the mutual information in CFTs is derived from modular flow and two-point functions of primaries, providing a high-precision formula for arbitrary ball separations that supersedes previous long-distance expansions.
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.
Increasing black hole scrambling time in JT and RST evaporating geometries suppresses and eliminates late-time entanglement revivals in 2d CFT mutual information for disjoint intervals, interpolating between quasiparticle and maximal scrambling regimes.
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
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.
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.
A neutral current protocol on the lattice in the massive Thirring model yields a weak signal exactly matching a coarse-grained current correlator, with extracted energy scaling quadratically with measurement strength, identifying the neutral sector shared with the continuum.
A position-space discretization on a cylinder approximates the modular operator for one and two double cones in the 1+1D massive Majorana field, showing nontrivial mass dependence and reduced bilocal terms at higher masses.
In this fuzzy-sphere matrix model the largest Lyapunov exponent drops to zero at finite temperature, respecting the Maldacena-Shenker-Stanford bound while entanglement shows fast scrambling.
Reviews modular flows in CFT2, warped CFTs and BMSFTs then presents vector and modular flows for celestial field theory and Klein CFTs while searching for the structure in Lifshitz theories.
High velocity enhances holographic entanglement entropy in charged plasmas, with thermal effects dominating at high speeds and velocity becoming dominant in the ultrarelativistic regime.
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.
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Numerical approach to the modular operator for fermionic systems
A position-space discretization on a cylinder approximates the modular operator for one and two double cones in the 1+1D massive Majorana field, showing nontrivial mass dependence and reduced bilocal terms at higher masses.