Massive spin-2 propagators on de Sitter space

Abstract

We compute the Pauli-Jordan, Hadamard and Feynman propagators for the massive metrical perturbations on de Sitter space. They are expressed both in terms of mode sums and in invariant forms.

Stability of a tachyon braneworld

“…Remarkably, these results can be straightforwardly generalized to space-times with constant curvature, i.e. they are valid for either M 4 , dS 4 or AdS 4 , and the definition of the 4D mass should be modified correspondingly [43][44][45][46], in particular, for the de Sitter space, the 4D mass operator is defined as follows:…”

“…In the last equality we have taken into account the definition of the 4D mass in a maximally symmetric space-time with metric γ µν [43], and the functions A(w), B(w), C(w) and D(w) respectively are…”

Conformally covariant vector–spinor field in de Sitter space

“…Being interested in the symmetry of space, the isometry group of the dS space is SO 0 (1, 4) which may be viewed as a deformation of the proper orthochronous Poincaré group. There are two Casimir operators in the dS group and it has been shown that the massive scalar, vector, and spin-2 fields can be associated with the UIRs of the dS group [5,[20][21][22][23]. The massless fields can be associated with an indecomposable representation of the dS group [24].…”

Conformally invariant “massless” spin-2 field in the de Sitter universe

“…The "massive" vector field in dS space has been associated with the principal series, whereas "massless" field corresponds to the lowest representation of the vector discrete series representation in dS group [2]. The "massive" and "massless" spin-2 fields in dS space have been also associated with the principal series and the lowest representation of the rank-2 tensor discrete series of dS group, respectively [3,4,5]. The importance of the "massless" spin-2 field in the dS space is due to the fact that it plays the central role in quantum gravity and quantum cosmology.…”