Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 652

The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.

Localized shocks

Open access
Roberts, Daniel A., Stanford, Douglas, Susskind, Leonard·2015·Journal of High Energy Physics
DOI 10.1007/jhep03(2015)051
Open this paper in CoChat — free account

Abstract

We study products of precursors of spatially local operators, $$ {W_x}_{{}_n}(tn)\cdot \cdot \cdot {W}_{x_1}\left({t}_1\right) $$ , where W x (t) = e − iHt W x e iHt . Using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fills a spatial region that grows linearly in t. In a lattice system, products of such operators can be represented using tensor networks. In gauge/gravity duality, they are related to Einstein-Rosen bridges supported by localized shock waves. We find a geometrical correspondence between these two descriptions, generalizing earlier work in the spatially homogeneous case.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1007/jhep03(2015)051

Cites

15 of 15 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 15 references

Cited by

See all 652

Metadata

Authors
Roberts, D. A., Stanford, D., & Susskind, L.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2015-03
Volume
2015
Issue
3
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep03(2015)051
OpenAlex
W3037042650
Cited by
652
References
15
FWCI
32.51
Type
journal article
Language
en
Open access
diamond

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Localized shocks. https://app.cochat.ai/papers/10.1007/jhep03(2015)051
The paper
Roberts, D. A., Stanford, D., & Susskind, L. (2015). Localized shocks. Journal of High Energy Physics. https://doi.org/10.1007/jhep03(2015)051

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.