On the vDVZ Discontinuity in Massive Conformal Gravity

Faria, F. F.

doi:10.1155/2019/7013012

Cited by 6 publications

(8 citation statements)

References 15 publications

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“…which reduce the independent components of a μν to just two. Thus, we conclude that the MCG plane gravitational wave (33) has seven propagating degrees of freedom, represented by the two independent components of a μν and the five independent components of b μν , which is consistent with recent results obtained in the literature [8,10].…”

Section: Plane Gravitational Wavessupporting

confidence: 92%

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Gravitational waves in massive conformal gravity

Faria

2020

Eur. Phys. J. C

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Section: Plane Gravitational Wavessupporting

confidence: 92%

“…is the standard energy loss of general relativity. Experiments on the inverse square law of the MCG gravitational potential of a point particle with a mass M, which is given by [8]…”

Section: Gravitational Waves From a Binary Systemmentioning

confidence: 99%

Gravitational waves in massive conformal gravity

Faria

2020

Eur. Phys. J. C

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“…Accordingly, the propagator for the massive spin-two field of Fierz-Pauli theory also diverges and does not reduce to that of the massless graviton of Einstein's gravity in the massless limit: this gives rise to the vDVZ discontinuity [24,25], which has been studied in detail in Refs. [32][33][34][35].…”

Section: Discussionmentioning

confidence: 99%

Canonical quantization of massive symmetric rank-two tensor in string theory

Park

Lee

2020

Nuclear Physics B

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The canonical quantization of a massive symmetric rank-two tensor in string theory, which contains two Stueckelberg fields, was studied. As a preliminary study, we performed a canonical quantization of the Proca model to describe a massive vector particle that shares common properties with the massive symmetric rank-two tensor model. By performing a canonical analysis of the Lagrangian, which describes the symmetric rank-two tensor, obtained by Siegel and Zwiebach (SZ) from string field theory, we deduced that the Lagrangian possesses only first class constraints that generate local gauge transformation. By explicit calculations, we show that the massive symmetric rank-two tensor theory is gauge invariant only in the critical dimension of open bosonic string theory, i.e., d = 26. This emphasizes that the origin of local symmetry is the nilpotency of the Becchi-Rouet-Stora-Tyutin (BRST) operator, which is valid only in the critical dimension. For a particular gauge imposed on the Stueckelberg fields, the gauge-invariant Lagrangian of the SZ model reduces to the Fierz-Pauli Lagrangian of a massive spin-two particle. Thus, the Fierz-Pauli Lagrangian is a gaugefixed version of the gauge-invariant Lagrangian for a massive symmetric rank-two tensor. By noting that the Fierz-Pauli Lagrangian is not suitable for studying massive spin-two particles with small masses, we propose the transverse-traceless (TT) gauge to quantize the SZ model as an alternative gauge condition. In the TT gauge, the two Stueckelberg fields can be decoupled from the symmetric rank-two tensor and integrated trivially. The massive spin-two particle can be described by the SZ model in the TT gauge, where the propagator of the massive spin-two particle has a well-defined massless limit.

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“…(34) Taking the trace of (34), and substituting into the trace of (10), whose left hand side is zero due to the field equation (11) and the tracelessness of the Bach tensor (W = g μν W μν = 0), we arrive at…”

Section: Dynamical Perfect Fluidmentioning

confidence: 99%

“…Among so many cosmological models, we chose the MCG model because it fits well with the Type Ia supernovae (SNIa) data without the cosmological constant problem [9]. In addition, the theory is free of the van Dam-Veltman-Zakharov (vDVZ) discontinuity [10], can reproduce the orbit of binaries by the emission of gravitational a e-mail: felfrafar@hotmail.com (corresponding author) waves [11] and is consistent with solar system observations [12]. Furthermore, MCG is a power-counting renormalizable [13,14] and unitary [15] quantum theory of gravity.…”

Section: Introductionmentioning

confidence: 99%