Introduces the Born-Reciprocal Tensor Network to realize UV/IR mixing as an entanglement bridge in renormalization geometry, with a large-volume limit restoring standard Wilsonian decoupling.
Entanglement entropy and quantum field theory: a non-technical introduction
6 Pith papers cite this work. Polarity classification is still indexing.
abstract
In these proceedings we give a pedagogical and non-technical introduction to the Quantum Field Theory approach to entanglement entropy. Particular attention is devoted to the one space dimensional case, with a linear dispersion relation, that, at a quantum critical point, can be effectively described by a two-dimensional Conformal Field Theory.
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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.
In large-central-charge holographic CFTs, post-quench mutual information organizes into six phases governed by conformal block dominance and D4 symmetry breaking to Z2 x Z2.
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
Compactification of the non-compact algebraic varieties of Z_N-graded Sugawara constructions on u(1)^2 Kac-Moody yields BMS3-like algebras Vir ⋊ F with F nilpotent of depth r < N for N>2, with depth tied to singularity order.
Regularizing the Aichelburg-Sexl metric for entangled photons produces a zero-throat wormhole geometry realizing ER=EPR, with gravitational self-energy scaling as 4G(ℏω)²/(c⁴L) ln(d²/l₀²) and matching an entanglement-entropy calculation.
citing papers explorer
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When Renormalisation Remembers: UV/IR Mixing as an Entanglement Bridge
Introduces the Born-Reciprocal Tensor Network to realize UV/IR mixing as an entanglement bridge in renormalization geometry, with a large-volume limit restoring standard Wilsonian decoupling.
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Mutual Information from Modular Flow in General CFTs
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.
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Dynamical Entanglement Phase Transitions in Holographic CFTs
In large-central-charge holographic CFTs, post-quench mutual information organizes into six phases governed by conformal block dominance and D4 symmetry breaking to Z2 x Z2.
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Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
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$BMS_3$-like algebras via the $Z_N$-graded $u(1)^2$ Kac-Moody algebra
Compactification of the non-compact algebraic varieties of Z_N-graded Sugawara constructions on u(1)^2 Kac-Moody yields BMS3-like algebras Vir ⋊ F with F nilpotent of depth r < N for N>2, with depth tied to singularity order.
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Testing the ${\rm ER=EPR}$ conjecture with entangled photons
Regularizing the Aichelburg-Sexl metric for entangled photons produces a zero-throat wormhole geometry realizing ER=EPR, with gravitational self-energy scaling as 4G(ℏω)²/(c⁴L) ln(d²/l₀²) and matching an entanglement-entropy calculation.