RECORD
Quantum corrections to critical phenomena in gravitational collapse
General Relativity and Quantum Cosmology · Submitted 23 Apr 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Generalizing the standard argument which explains the scaling law for black hole mass, $M \propto |\eta-\eta^*|^\beta$, we demonstrate the existence of a quantum mass gap when the classical critical exponent satisfies $\beta \geq 0.5$.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We investigate conformally coupled quantum matter fields on spherically symmetric, continuously self-similar backgrounds. By exploiting the symmetry associated with the self-similarity the general structure of the renormalized quantum stress-energy tensor can be derived. As an immediate application we consider a combination of classical, and quantum perturbations about exactly critical collapse. Generalizing the standard argument which explains the scaling law for black hole mass, $M \propto |\eta-\eta^*|^\beta$, we demonstrate the existence of a quantum mass gap when the classical critical exponent satisfies $\beta \geq 0.5$. When $\beta < 0.5$ our argument is inconclusive; the semi-classical approximation breaks down in the spacetime region of interest.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate conformally coupled quantum matter fields on spherically symmetric, continuously self-similar backgrounds. | contribution 0.79 | 0.74 | 0.02 | asserted 0.78 |
| s1 | By exploiting the symmetry associated with the self-similarity the general structure of the renormalized quantum stress-energy tensor can be derived. | method 0.96 | 0.81 | 0.03 | asserted 0.96 |
| s2 | As an immediate application we consider a combination of classical, and quantum perturbations about exactly critical collapse. | contribution 0.67 | 0.83 | 0.04 | asserted 0.65 |
| s3 | Generalizing the standard argument which explains the scaling law for black hole mass, $M \propto |\eta-\eta^*|^\beta$, we demonstrate the existence of a quantum mass gap when the classical critical exponent satisfies $\beta \geq 0.5$. | result 1.00 | 0.94 | 0.82 | asserted 1.00 |
| s4 | When $\beta < 0.5$ our argument is inconclusive; the semi-classical approximation breaks down in the spacetime region of interest. | limitation 1.00 | 0.77 | 0.05 | asserted 0.90 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We investigate conformally coupled quantum matter fields on spherically symmetric, continuously self-similar backgrounds. By exploiting the symmetry associated with the self-similarity the general structure of the renormalized quantum stress-energy tensor can be derived. As an immediate application we consider a combination of classical, and quantum perturbations about exactly critical collapse. Generalizing the standard argument which explains the scaling law for black hole mass, $M \propto |\eta-\eta^*|^\beta$, we demonstrate the existence of a quantum mass gap when the classical critical exponent satisfies $\beta \geq 0.5$. When $\beta < 0.5$ our argument is inconclusive; the semi-classical approximation breaks down in the spacetime region of interest.
Human review
References
How the literature uses it
6 arXiv papers cite this in 15 sentences
Papers citing it · 10 sentences without a confident label
Compares with it 1 paper
-
(i) Brady and Ottewill [ref] approached the problem from a four-dimensional perspective using the trace anomaly to model quantum effects in critical collapse and reported qualitatively similar features to ours, such as the appearance of a mass gap.
Unveiling horizons in quantum critical collapse · Remarks on approaches based on canonical quantization · 1.00
Cites it as background 3 papers
-
Conclusions ranging from claims that quantum effects are so large that critical phenomena may cease to exist altogether [ref] , inducing a phase transition [ref] , or are merely small corrections in the near-critical regime [ref] .
Unveiling horizons in quantum critical collapse · Challenges of modeling quantum effects in critical collapse · 0.84
-
Depending on the model, approximation scheme, and choice of quantum state, previous studies have found results ranging from the persistence of Type II scaling, the emergence of a mass gap, or even the breakdown of critical behavior altogether [ref] .
Quantum fate of the Choptuik naked singularity · Introduction · 0.94
-
Semiclassical gravity has also been used to study gravitational collapse [ref] , quantum superradiance [ref] , and many other topics.
Quantum fields in boson star spacetime · Introduction · 0.90
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.