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Stochastic Gravity: Theory and Applications

Canonical reference. 100% of citing Pith papers cite this work as background.

7 Pith papers citing it
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abstract

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin equation, which has in addition sources due to the noise kernel. In the first part, we describe the fundamentals of this new theory via two approaches: the axiomatic and the functional. In the second part, we describe three applications of stochastic gravity theory. First, we consider metric perturbations in a Minkowski spacetime, compute the two-point correlation functions of these perturbations and prove that Minkowski spacetime is a stable solution of semiclassical gravity. Second, we discuss structure formation from the stochastic gravity viewpoint. Third, we discuss the backreaction of Hawking radiation in the gravitational background of a black hole and describe the metric fluctuations near the event horizon of an evaporating black hole

citation-role summary

background 5

citation-polarity summary

fields

hep-th 5 gr-qc 2

years

2026 6 2025 1

roles

background 4

polarities

background 4

representative citing papers

Schwinger-Keldysh Path Integral for Gauge theories

hep-th · 2026-04-29 · unverdicted · novelty 7.0 · 2 refs

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.

Quantum Matter Makes Lightcones Quantum

gr-qc · 2026-06-02 · unverdicted · novelty 6.0

Quantum matter sources an operator-valued Shapiro delay that promotes causal boundaries to noncommuting observables and allows superpositions of causal relations between spacetime points.

Gauging Open EFTs from the top down

hep-th · 2025-12-18 · unverdicted · novelty 6.0

Derives gauge-invariant influence functionals for photons and Stueckelberg fields in open U(1) gauge EFTs via BRST on the in-in contour after integrating out matter.

Stochastic modes in postquantum classical gravity

hep-th · 2026-05-06 · unverdicted · novelty 5.0

Postquantum classical gravity requires stochastic spacetime fluctuations consisting of a diffusing spin-2 field and spin-0 scalar whose noise is constrained by LISA Pathfinder and decoherence bounds.

citing papers explorer

Showing 7 of 7 citing papers.

  • Stochastic inflation as an open quantum system II: open effective field theory and stochastic matching hep-th · 2026-05-21 · unverdicted · none · ref 146 · 2 links · internal anchor

    Constructs open EFT for stochastic inflation with stochastic RG channel, nonlocal Wilson kernels, and derived master equations matched to full theory via method-of-regions.

  • Schwinger-Keldysh Path Integral for Gauge theories hep-th · 2026-04-29 · unverdicted · none · ref 122 · 2 links · internal anchor

    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.

  • Quantum Matter Makes Lightcones Quantum gr-qc · 2026-06-02 · unverdicted · none · ref 11 · internal anchor

    Quantum matter sources an operator-valued Shapiro delay that promotes causal boundaries to noncommuting observables and allows superpositions of causal relations between spacetime points.

  • On the importance of radiation-era initial conditions for tensor perturbations hep-th · 2026-02-03 · conditional · none · ref 28 · internal anchor

    Tensor perturbations remain conserved on super-horizon scales when radiation initial conditions during reheating are locally perturbed by existing modes, unlike global equilibrium assumptions that suppress amplitudes.

  • Gauging Open EFTs from the top down hep-th · 2025-12-18 · unverdicted · none · ref 101 · internal anchor

    Derives gauge-invariant influence functionals for photons and Stueckelberg fields in open U(1) gauge EFTs via BRST on the in-in contour after integrating out matter.

  • Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole gr-qc · 2026-06-30 · unverdicted · none · ref 13 · internal anchor

    Semiclassical backreaction from massive quantum fields deforms the local exterior geometry of a global monopole but leaves its asymptotic solid-angle deficit unchanged.

  • Stochastic modes in postquantum classical gravity hep-th · 2026-05-06 · unverdicted · none · ref 42

    Postquantum classical gravity requires stochastic spacetime fluctuations consisting of a diffusing spin-2 field and spin-0 scalar whose noise is constrained by LISA Pathfinder and decoherence bounds.