Global symmetry breaking in two-dimensional flat spacetime and in de Sitter spacetime

1986 ◽  
Vol 33 (10) ◽  
pp. 2833-2839 ◽  
Author(s):  
L. H. Ford ◽  
Alexander Vilenkin
Keyword(s):  
Symmetry Breaking ◽  
Global Symmetry ◽  
De Sitter Spacetime ◽  
Two Dimensional ◽  
De Sitter ◽  
Flat Spacetime ◽  
Sitter Spacetime

scholarly journals HIGGS–ANTI-DE SITTER SPACETIME BUBBLES FROM SPONTANEOUS Z2-VIOLATION AT ELECTROWEAK SYMMETRY BREAKING SCALE

2004 ◽  
Vol 13 (04) ◽  
pp. 641-657 ◽  
Author(s):  
CIPRIAN DARIESCU
Keyword(s):  
Symmetry Breaking ◽  
Electroweak Symmetry Breaking ◽  
De Sitter Spacetime ◽  
Electroweak Symmetry ◽  
De Sitter ◽  
Frw Universe ◽  
Closed Form Solutions ◽  
Sitter Spacetime ◽  
Friedmann Robertson Walker ◽  
Breaking Scale

The Einstein–Gordon equations for Friedmann–Robertson–Walker (FRW) geometries in feedback reaction with the quartically self-interacting physical field, arisen from the spontaneous Z2-symmetry breaking, are explicitly formulated. The fixed point exact solutions to the "inner parity" non-invariant Einstein–Gordon system (mandatory) describe (k=-1)-FRW manifolds which actually are either Milne or anti-de Sitter Universes. Setting the Z2-invariance breaking scale at one of the electroweak symmetry, we speculate on the cosmological implications of the Higgs–anti-de Sitter bubbles and derive a set of closed-form solutions to the S2-cobordism with a spatially-flat FRW Universe.

scholarly journals SPECTRA OF BLACK HOLE IN DE SITTER SPACETIME WITH HIGHLY DAMPED QUASINORMAL MODES: HIGH OVERTONE CASE

2012 ◽  
Vol 27 (23) ◽  
pp. 1250123 ◽  
Author(s):  
MOLIN LIU ◽  
XUEHUI HU ◽  
JUNWANG LU ◽  
JIANBO LU
Keyword(s):  
Black Hole ◽  
Quasinormal Modes ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Flat Spacetime ◽  
Sitter Spacetime ◽  
Spacetime Structure ◽  
Electrically Charged ◽  
High Overtone ◽  
Charged Case

Motivated by recent physical interpretation on quasinormal modes presented by Maggiore [Phys. Rev. Lett. 100, 141301 (2008)], the adiabatic quantity method given by Kunstatter [Phys. Rev. Lett. 90, 161301 (2003)] is used to calculate the spectrums of a non-extremal Schwarzschild de Sitter black hole in this paper, as well as electrically charged case. According to highly damped Konoplya and Zhidenko's numerical observational results for high overtone modes [JHEP 06, 037 (2004)], we found that the asymptotic non-flat spacetime structure leads to two interesting facts: (i) near inner event horizon, the area and entropy spectrums, which are given by Aen= 8 n1πℏ, Sen= 2πn1ℏ, are equally spaced accurately. (ii) However, near outer cosmological horizon the spectrums, which are in the form of [Formula: see text], are not markedly equidistant. Finally, we also discuss the electrically charged case and find that the black holes in de Sitter spacetime have similar quantization behavior no matter with or without charge.

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.

scholarly journals HORIZONS AND THE THERMAL HARMONIC OSCILLATOR

2005 ◽  
Vol 20 (20) ◽  
pp. 1503-1511 ◽  
Author(s):  
M. CADONI
Keyword(s):  
Harmonic Oscillator ◽  
Mechanical System ◽  
Free Particle ◽  
Hawking Temperature ◽  
De Sitter Spacetime ◽  
Two Dimensional ◽  
De Sitter ◽  
Sitter Spacetime

We show that two-dimensional anti-de Sitter spacetime (AdS2) can be put in correspondence, holographically, both with the harmonic oscillator and the free particle. When AdS2 has a horizon the corresponding mechanical system is a thermal harmonic oscillator at temperature given by the Hawking temperature of the horizon.

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