{"arxiv_id":"1007.2385","incoming":{"papers":6,"sentences":35,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1305.1632","title":"Non-perturbative Massive Solutions in Gravitational Higgs Mechanism","url":"/paper/1305.1632","section":"Gravitational Higgs Mechanism","sentence":"This is a generalization of the setup of [ref] for the gravitational Higgs mechanism in the de Sitter space to a general background.","intent_p":1.0,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":3,"sentences":9,"quotes":[{"arxiv_id":"1405.4049","title":"Non-perturbative Massive de Sitter Solutions","url":"/paper/1405.4049","section":"Introduction and Summary","sentence":"Non-perturbatively, even for $β≠1$, the Hamiltonian is bounded from below and the perturbative ghost is merely an artifact of linearization [ref] .[ The full non-perturbative Hamiltonian for the model of [ref] , which has $β=1/2$, in the gravitational Higgs mechanism framework was constructed in [ref] and is expressly positive-definite.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1402.6989","title":"No vDVZ Discontinuity in Non-Fierz-Pauli Theories","url":"/paper/1402.6989","section":"Comments","sentence":"As was argued in [ref] , while for $β≠1$ the trace $h$ is a ghost, this is a mere artifact of linearization and non-perturbatively the Hamiltonian is bounded from below.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1403.2470","title":"Massive Gravity in Extra Dimensions","url":"/paper/1403.2470","section":"Why Is the Tensor Structure $(D-1)$-dimensional?","sentence":"The non-perturbative Hamiltonian for the relevant degrees of freedom (that is, the conformal and helicity-0 modes) is bounded from below even if $β≠1$ (i.e., when perturbatively the graviton mass term is not of the Fierz-Pauli form and perturbatively the theory is naively non-unitary) [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":3,"sentences":4,"quotes":[{"arxiv_id":"1405.4049","title":"Non-perturbative Massive de Sitter Solutions","url":"/paper/1405.4049","section":"Gravitational Higgs Mechanism","sentence":"In this section we very briefly review gravitational Higgs mechanism in curved backgrounds – de Sitter was discussed in [ref] , and the general case in [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1102.4991","title":"Non-perturbative Unitarity of Gravitational Higgs Mechanism","url":"/paper/1102.4991","section":"Introduction and Summary","sentence":"The graviton acquires mass via spontaneous breaking of the underlying general coordinate reparametrization invariance by scalar vacuum expectation values.[For earlier and subsequent related works, see, e.g., [ref] , and references therein.] In this paper, motivated by the results of [ref] for the gravitational Higgs mechanism in de Sitter space, we study the issue of unitarity of the gravitational Higgs mechanism in the Minkowski background within the setup of [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1105.3735","title":"Theoretical Aspects of Massive Gravity","url":"/paper/1105.3735","section":"Fierz-Pauli gravitons on curved space and partially massless theories","sentence":"See [ref] for some other aspects of massive gravity on curved space.","intent_p":0.98,"contests_p":null}]}],"unlabelled_sentences":21},"outgoing":{"papers":31,"sentences":43,"groups":[{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"hep-th/0102166","title":"Gauge Invariances and Phases of Massive Higher Spins in (A)dS","url":"/paper/hep-th/0102166","section":"Is there a Ghost?","sentence":"We have been working with ([ref]), while the aforesaid result of [ref] applies to ([ref]).","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites as 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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":"hep-th/0210184","title":"Effective Field Theory for Massive Gravitons and Gravity in Theory Space","url":"/paper/hep-th/0210184","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":"hep-th/0301014","title":"Spontaneous Symmetry Breaking for Massive Spin-2 Interacting with Gravity","url":"/paper/hep-th/0301014","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":"hep-th/0301255","title":"Gravity, p-branes and a spacetime counterpart of the Higgs effect","url":"/paper/hep-th/0301255","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}]}],"unlabelled_sentences":16},"claims":[],"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. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1007.2385"}}