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 Entropy in Spacetime and Topological Hair

2018 ◽  
Vol 168 ◽  
pp. 03008
Author(s):  
Young-Hwan Hyun ◽  
Yoonbai Kim
Keyword(s):  
Solid Angle ◽  
Thermodynamic Quantities ◽  
De Sitter Spacetime ◽  
Cosmological Horizon ◽  
Exact Form ◽  
De Sitter ◽  
Matter Distribution ◽  
Topological Soliton ◽  
Sitter Spacetime ◽  
Arbitrary Dimensions

Global topological soliton of the hedgehog ansatz is added to de Sitter spacetime in arbitrary dimensions larger than three, and then thermodynamic law is checked at the cosmological horizon. All geometric and thermodynamic quantities are varied in the presence of a long-range interacting matter distribution with negative pressure, however the entropy-area relation is satisfied in the exact form. Its geometry involves deficit solid angle but maintains a single horizon which allows unique temperature normalization, different from the case of Schwarzschild-de Sitter spacetime.

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.

scholarly journals WORMHOLES IN SPACETIMES WITH COSMOLOGICAL HORIZONS

1999 ◽  
Vol 08 (03) ◽  
pp. 325-335 ◽  
Author(s):  
CARLOS BARCELÓ
Keyword(s):  
Cosmological Constant ◽  
Wave Functions ◽  
Low Energy ◽  
De Sitter Spacetime ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Effective Interactions ◽  
Energy Field ◽  
Flat Spacetime ◽  
Sitter Spacetime

A generalization of the asymptotic wormhole boundary condition for the case of spacetimes with a cosmological horizon is proposed. In particular, we consider de Sitter spacetime with small cosmological constant. The wave functions selected by this proposal are exponentially damped in WKB approximation when the scale factor is large but still much smaller than the horizon size. In addition, they only include outgoing gravitational modes in the region beyond the horizon. We argue that these wave functions represent quantum wormholes and compute the local effective interactions induced by them in low-energy field theory. These effective interactions differ from those for flat spacetime in terms that explicitly depend on the cosmological constant.

Cosmological horizon modes and linear response in de Sitter spacetime

2009 ◽  
Vol 80 (8) ◽  
Author(s):  
Paul R. Anderson ◽  
Carmen Molina-París ◽  
Emil Mottola
Keyword(s):  
Linear Response ◽  
De Sitter Spacetime ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Sitter Spacetime
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