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The fate of non-diagonalizable interactions in quasidilaton theory

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Rampei Kimura

High Energy Physics - Theory · Submitted 25 Mar 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that all solutions inside the Vainshtein radius are problematic : the scalar mode in massive graviton suffers from gradient instabilities, the vector mode are infinitely strongly coupled vector perturbations, or the Vainshtein mechanism is absent.

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arXiv ID1503.07430 (version 1)
Pith IDCSV6JAE7, Pith's permanent record of this paper and its review
CitationRampei Kimura. "The fate of non-diagonalizable interactions in quasidilaton theory." arXiv:1503.07430 (2015). https://pith.science/paper/CSV6JAE7
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,658 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.76 · human participants 0.01 · controlled comparison 0.21 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.91 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

It has been shown that the spherically symmetric solutions in a subclass of quasidilaton theory are stable against all degrees of freedom and does not even exhibit superluminal propagation. These solutions can be found by switching off scalar-tensor interactions, which can not be removed by a local transformation. In this paper, we extend the analysis to quasidilaton theory, including non-diagonalizable scalar-tensor interactions. We show that all solutions inside the Vainshtein radius are problematic : the scalar mode in massive graviton suffers from gradient instabilities, the vector mode are infinitely strongly coupled vector perturbations, or the Vainshtein mechanism is absent.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 It has been shown that the spherically symmetric solutions in a subclass of quasidilaton theory are stable against all degrees of freedom and does not even exhibit superluminal propagation. background 0.99 0.08 0.06 asserted 1.00
s1 These solutions can be found by switching off scalar-tensor interactions, which can not be removed by a local transformation. background 0.93 0.20 0.03 asserted 0.99
s2 In this paper, we extend the analysis to quasidilaton theory, including non-diagonalizable scalar-tensor interactions. contribution 0.99 0.73 0.05 asserted 0.92
s3 We show that all solutions inside the Vainshtein radius are problematic : the scalar mode in massive graviton suffers from gradient instabilities, the vector mode are infinitely strongly coupled vector perturbations, or the Vainshtein mechanism is absent. result 1.00 0.93 0.92 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

It has been shown that the spherically symmetric solutions in a subclass of quasidilaton theory are stable against all degrees of freedom and does not even exhibit superluminal propagation. These solutions can be found by switching off scalar-tensor interactions, which can not be removed by a local transformation. In this paper, we extend the analysis to quasidilaton theory, including non-diagonalizable scalar-tensor interactions. We show that all solutions inside the Vainshtein radius are problematic : the scalar mode in massive graviton suffers from gradient instabilities, the vector mode are infinitely strongly coupled vector perturbations, or the Vainshtein mechanism is absent.

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 9 sentences without a confident label

Builds on 1 paper
Uses the method or tool of 1 paper
  • Following to the method in [ref] , one can find that the radial and angular sound speeds are related to the kinetic coefficient $A$ at the leading order inside the Vainshtein radius, [equation] Since $ω>0$, one cannot eliminate the leading order of $c_r^2$ by any combination of the parameters.

    Vainshtein Solutions Without Superluminal Modes · Vainshtein solution without shift-symmetric Horndeski terms · 1.00

Cites as background 3 papers
  • Such a mechanism can be seen in ghost-free massive gravity called de Rham-Gabadadze-Tolley (dRGT) massive gravity [ref] , whose mass term consists of an infinite number of potentials to eliminate the Boulware-Deser (BD) ghost [ref] (for the proof of the absence of BD ghost in full theory, see [ref] ).

    A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity · Introduction · 0.95

  • Such a mechanism can be seen in ghost-free massive gravity called de Rham-Gabadadze-Tolley (dRGT) massive gravity [ref] , whose mass term consists of an infinite number of potentials to eliminate the Boulware-Deser (BD) ghost [ref] (for the proof of the absence of BD ghost in full theory, see [ref] ).

    Covariant Approach to the No-ghost Theorem in Massive Gravity · Introduction · 0.95

  • Therefore, modified gravity requires a mechanism to restore general relativity at short distances to pass these tests (for a review see [ref] ).

    Beyond the Cosmological Standard Model · Introduction · 0.97

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