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Exorcising ghosts?","sentence":"Therefore the cure for the ghost instability proposed in [ref] does not work for the case $a=-1$ of the ghost condensate/ekpyrotic scenario.","intent_p":0.88,"contests_p":0.93},{"arxiv_id":"1105.3735","title":"Theoretical Aspects of Massive Gravity","url":"/paper/1105.3735","section":"The appearance of galileons and the absence of ghosts","sentence":"In fact, as pointed out in [ref] , the properties ([ref]) of the tensors $X_μν$ guarantee that there are no ghosts in the lagrangian ([ref]) of the decoupling limit theory.[ This is contrary to [ref] , which claims that a ghost is still present at quartic order.","intent_p":0.45,"contests_p":0.93},{"arxiv_id":"1807.01725","title":"A systematic approach to generalisations of General Relativity and their cosmological implications","url":"/paper/1807.01725","section":"Introduction","sentence":"The attempt by [ref] for constructing non-linear interactions of the helicity-0 mode yielded a negative conclusion due to an erroneous decomposition of the massive graviton into its helicity modes.","intent_p":0.74,"contests_p":0.93}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1910.11799","title":"Positivity Constraints on Interacting Spin-2 Fields","url":"/paper/1910.11799","section":"Cycle and Line EFTs of Interacting Spin-2 Fields","sentence":"To identify the cutoff scale it is most useful to perform a decoupling limit analysis, as was done in detail in [ref] for the spin-2 case, based on earlier analyses [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"1105.3735","title":"Theoretical Aspects of Massive Gravity","url":"/paper/1105.3735","section":"Ghosts","sentence":"Following [ref] , let's consider the stability of the classical solutions to ([ref]) around a massive point source.","intent_p":0.84,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2012.04507","title":"Dynamical diffeomorphisms","url":"/paper/2012.04507","section":"Introduction","sentence":"In the original model, the ghost starts propagating at energy scales higher than $(1000km)^-1$ [ref] , leading to strong conflict with observations.","intent_p":0.8,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1807.08754","title":"On the (A)dS Decoupling Limits of Massive Gravity","url":"/paper/1807.08754","section":"Interacting Proca in the decoupling limit","sentence":"This is in contrast to the flat space decoupling limit, where choosing the ghost-free structure raises the strong coupling scale from $Λ_5=\\(m^4\\)^1/5$ to $Λ_3=\\(m^2\\)^1/3$ [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1103.1351","title":"Nonlinear Dynamics of 3D Massive Gravity","url":"/paper/1103.1351","section":"Introduction and Summary","sentence":"We also note that the term of concern of Ref. [ref] , found in that work in the Lagrangian formalism, is nothing but the term already found in [ref] in the Hamiltonian formalism, that was addressed above.].","intent_p":0.89,"contests_p":null},{"arxiv_id":"0901.3462","title":"On massive spin 2 electromagnetic interactions","url":"/paper/0901.3462","section":"Conclusion and discussion","sentence":"And it seems very natural that it is the model with the right number of physical degrees of freedom and without any ghosts that has the best high energy behavior (compare e.g. [ref] ).","intent_p":0.83,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":3,"sentences":4,"quotes":[{"arxiv_id":"1412.4780","title":"On strong coupling scales in (minimal) massive gravity","url":"/paper/1412.4780","section":"Raising the strong coupling scale","sentence":"In fact, the $Λ_5$ interactions also excite a ghost at the same scale $Λ_Q$ [ref] , so the scale where quantum corrections become important (which directly derives from $Λ_5$ around a given background) should indeed be seen as the effective cutoff scale of the theory in question [A detailed discussion of the relation between the cutoff of the theory—the scale where full unitarity breaks down—and the perturbative unitarity violation scales, as well as their relation to an `environmental' strong coupling scale, is beyond the scope of this paper.","intent_p":0.97,"contests_p":null},{"arxiv_id":"0901.0393","title":"The Vainshtein mechanism in the Decoupling Limit of massive gravity","url":"/paper/0901.0393","section":"Strong coupling and decoupling limit in the Goldstone picture","sentence":"This indicates that there is a regime where the theory considered, and hence also its solutions, is well approximated[Of course the discussion here is a bit loose, it will be made more precise when dealing with spherically symmetric solutions.] by retaining only the quadratic action and the cubic self interaction of $ϕ̃$, as noted in particular in Ref. [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"1401.4173","title":"Massive Gravity","url":"/paper/1401.4173","section":"Primary constraint","sentence":"There is actually no choice of potential $𝒰$ which would keep it linear in the lapse beyond cubic order [ref] .","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":21,"sentences":21,"quotes":[{"arxiv_id":"1505.00831","title":"New Kinetic Terms for Massive Gravity and Multi-gravity: A No-Go in Vielbein Form","url":"/paper/1505.00831","section":"Overview","sentence":"In massive gravity, the standard problem is the Boulware–Deser (BD) ghost [ref] , see also [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1007.2385","title":"Massive Gravity in de Sitter Space via Gravitational Higgs Mechanism","url":"/paper/1007.2385","section":"Introduction and Summary","sentence":"Similarly, components of the massless particle associated with general coordinate reparametrization invariance, the graviton, could acquire mass via gravitational Higgs mechanism [ref] upon spontaneous breaking of diffeomorphism invariance by scalar vacuum expectation values[For earlier and subsequent related works, see, e.g., [ref] , and references therein.].","intent_p":0.92,"contests_p":null},{"arxiv_id":"1108.4521","title":"Helicity Decomposition of Ghost-free Massive Gravity","url":"/paper/1108.4521","section":"Introduction","sentence":"This is possible by taking a specific limit of the theory in such a way that the different degrees of freedom decouple, hence called the “decoupling limit\". * In the decoupling limit: In this limit, AGS showed that the ghost could in principle be pushed beyond the scale $Λ_5$, however shortly after, it was argued that the ghost would inexorably reappear at the scale $Λ_3$, [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"1107.3820","title":"Ghost free Massive Gravity in the St\\\"uckelberg language","url":"/paper/1107.3820","section":"Introduction","sentence":"In recent years there has been considerable progress in the construction of massive gravity theories in 4 dimensions, [ref] , culminating in the proposal of [ref] of a two parameter family of models which are ghost free in the decoupling limit and were explicitly shown to be ghost free in the full theory to fourth order, as well as completely nonlinearly in specific cases.","intent_p":0.97,"contests_p":null},{"arxiv_id":"1708.05716","title":"Massive Spin-2 Scattering and Asymptotic Superluminality","url":"/paper/1708.05716","section":"Introduction and Summary","sentence":"There is a consistent effective field theory (EFT) description of massive spin-2 fields with a cutoff scale parametrically larger than its mass [ref] , but it is not known whether this type of theory can arise as a Higgs-like phase of Einstein gravity or some other local, Lorentz-invariant ultraviolet completion.[If such a Higgs mechanism exists, it is thought that it should realize the symmetry breaking pattern $ISO(d,1)_local×Diff(d,1)→SO(d,1)_diagonal$ [ref] .","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":119},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[{"relation":"contradicts","label":"States a conflicting result","papers":[{"arxiv_id":"1106.3344","url":"/paper/1106.3344","title":"Resolving the Ghost Problem in non-Linear Massive Gravity","main_claim":"This implies the absence of the pathological Boulware-Deser ghost to all orders.","p":0.85}]}],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. 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A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":null},"_links":{"html":"https://pith.science/paper/hep-th/0505147"}}