scholarly journals The Weyl tensor two-point function in de Sitter spacetime

2001 ◽  
Vol 18 (22) ◽  
pp. 4961-4968 ◽  
Author(s):  
Spyros S Kouris
Keyword(s):  
Weyl Tensor ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Point Function ◽  
Sitter Spacetime

scholarly journals Wavefunctions in dS/CFT revisited: principal series and double-trace deformations

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Hiroshi Isono ◽  
Hoiki Madison Liu ◽  
Toshifumi Noumi
Keyword(s):  
Principal Series ◽  
Light Fields ◽  
Quadratic Term ◽  
De Sitter Spacetime ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Complementary Series ◽  
Point Function ◽  
Sitter Spacetime ◽  
Simple Scaling

Abstract We study wavefunctions of heavy scalars on de Sitter spacetime and their implications to dS/CFT correspondence. In contrast to light fields in the complementary series, heavy fields in the principal series oscillate outside the cosmological horizon. As a consequence, the quadratic term in the wavefunction does not follow a simple scaling and so it is hard to identify it with a conformal two-point function. In this paper, we demonstrate that it should be interpreted as a two-point function on a cyclic RG flow which is obtained by double-trace deformations of the dual CFT. This is analogous to the situation in nonrelativistic AdS/CFT with a bulk scalar whose mass squared is below the Breitenlohner-Freedman (BF) bound. We also provide a new dS/CFT dictionary relating de Sitter two-point functions and conformal two-point functions in the would-be dual CFT.

scholarly journals Graviton two-point function in 3 + 1 static de Sitter spacetime

2016 ◽  
Vol 25 (09) ◽  
pp. 1641016 ◽  
Author(s):  
Rafael P. Bernar ◽  
Luís C. B. Crispino ◽  
Atsushi Higuchi
Keyword(s):  
Vacuum State ◽  
De Sitter Spacetime ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Point Function ◽  
Gauge Invariant ◽  
Gravitational Perturbations ◽  
Time Translation ◽  
Sitter Spacetime ◽  
Arbitrary Dimensions

In [R. P. Bernar, L. C. B. Crispino and A. Higuchi, Phys. Rev. D 90 (2014) 024045.] we investigated gravitational perturbations in the background of de Sitter spacetime in arbitrary dimensions. More specifically, we used a gauge-invariant formalism to describe the perturbations inside the cosmological horizon, i.e. in the static patch of de Sitter spacetime. After a gauge-fixed quantization procedure, the two-point function in the Bunch–Davies-like vacuum state was shown to be infrared finite and invariant under time-translation. In this work, we give details of the calculations to obtain the graviton two-point function in 3 + 1 dimensions.

scholarly journals Large-distance behavior of the massless vector two-point function in de Sitter spacetime

2018 ◽  
Vol 27 (11) ◽  
pp. 1843005 ◽  
Author(s):  
Nicola Rendell
Keyword(s):  
Landau Gauge ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Massless Limit ◽  
Point Function ◽  
Long Distance ◽  
Sitter Spacetime ◽  
Invariant Distance ◽  
Gauge Fixing ◽  
Distance Behavior

We study the long-distance behavior of the massless vector propagator in [Formula: see text]-dimensional de Sitter spacetime, where [Formula: see text]. Specifically, we consider the massless limit of the vector propagator in the Stueckelberg theory, which is an extension of Proca theory, with an additional gauge-fixing term. We work to leading order in the de Sitter-invariant distance [Formula: see text] to show that, in the large [Formula: see text] limit, this propagator tends to a gauge-dependent constant, where the gauge worked in is described by the Stueckelberg parameter [Formula: see text]. In the Landau gauge, where [Formula: see text], this constant is found to be 0. This result is in agreement with the four-dimensional case discussed by Youssef.

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