Pith. sign in

REVIEW 13 cited by

Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2112.11614 v5 pith:6ZSWT7DC submitted 2021-12-22 hep-th gr-qc

Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?

classification hep-th gr-qc
keywords limitquantumtheorycurvedexplainfieldresultssome
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

This article aims to explain some of the basic facts about the questions raised in the title, without the technical details that are available in the literature. We provide a gentle introduction to some rather classical results about quantum field theory in curved spacetime and about the thermodynamic limit of quantum statistical mechanics. We also briefly explain that these results have an analog in the large N limit of gauge theory.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 13 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model

    math-ph 2025-12 unverdicted novelty 8.0

    The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.

  2. Carrollian quantum states and flat space holography

    hep-th 2026-04 conditional novelty 7.0

    Free Carrollian quantum field theories admit well-defined vacuum and KMS states via algebraic methods, with massless theories requiring nonregular states whose Hilbert spaces factorize into Fock and nonseparable zero-...

  3. Carrollian quantum states and flat space holography

    hep-th 2026-04 unverdicted novelty 7.0

    Carrollian QFTs from scalar limits admit regular invariant vacua and KMS states only in the massive electric sector; a factorizing quasifree state is constructed for flat-space holography isolating nonseparable zero modes.

  4. Extending the Dynamical Systems Toolkit: Coupled Fields in Multiscalar Dark Energy

    hep-th 2025-09 unverdicted novelty 7.0

    New dynamical systems variables for coupled axion-saxion fields yield a general non-geodesicity expression at fixed points and identify genuinely non-geodesic attractors under exponential couplings.

  5. An Algebra of Observables for de Sitter Space

    hep-th 2022-06 accept novelty 7.0

    Defines a Type II₁ algebra of gravitationally dressed observables in de Sitter static patch whose entropy matches generalized entropy up to a state-independent additive constant.

  6. The mini-Page Curve in Cosmology

    hep-th 2026-07 conditional novelty 6.5

    In 2D centaur geometries the entropy difference of a modular-conjugate Hawking-pair probe traces an inverse mini-Page curve that bottoms at τ≈β/8, marking when information begins to leave the cosmological horizon.

  7. Excitability in quantum field theory

    hep-th 2026-04 unverdicted novelty 6.0

    For zero-mean Gaussian states in generalized free field theories, one-way local excitability always implies two-way excitability, generalizing the quasiequivalence theorems of Powers, Stormer, van Daele, Araki, and Yamagami.

  8. Searching for emergent spacetime in spin glasses

    hep-th 2025-10 unverdicted novelty 6.0

    Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk...

  9. Von Neumann Algebras in Double-Scaled SYK

    hep-th 2024-03 unverdicted novelty 6.0

    Double-scaled SYK chord algebra is a Type II₁ factor whose empty state is tracial, cyclic, and separating.

  10. Spacetime from Operator Algebras

    hep-th 2026-06 unverdicted novelty 5.0

    Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matr...

  11. Real-Time Quantum Dynamics on the Fuzzy Sphere: Chaos and Entanglement

    hep-th 2026-05 unverdicted novelty 5.0

    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.

  12. All Hilbert spaces are the same: consequences for generalized coordinates and momenta

    quant-ph 2025-02 unverdicted novelty 5.0

    All separable Hilbert spaces of given dimension being isomorphic implies exactly six basic generalized coordinate operators and seven coordinate-momentum pairs via self-adjoint or Neumark extensions.

  13. Implication of dressed form of relational observable on von Neumann algebra

    hep-th 2026-03 unverdicted novelty 4.0

    Dressed relational observables imply quasi-de Sitter space corresponds to Type II_∞ von Neumann algebra with diverging trace in the gravity decoupling limit, unlike the finite-trace Type II_1 algebra for de Sitter space.