Semiclassical quantization of circular strings in de Sitter and anti-de Sitter spacetimes
Identifieur interne : 000090 ( PascalFrancis/Corpus ); précédent : 000089; suivant : 000091Semiclassical quantization of circular strings in de Sitter and anti-de Sitter spacetimes
Auteurs : H. J. De Vega ; A. L. Larsen ; N. SánchezSource :
- Physical Review D (Particles and Fields) [ 0556-2821 ] ; 1995-06-15.
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- Pascal (Inist)
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Abstract
We compute the exact equation of state of circular strings in the (2+1)-dimensional de Sitter (dS) and anti-de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting, and expanding) strings. The string equation of state has the perfect fluid form P = (γ-1)E, with the pressure and energy expressed closely and completely in terms of elliptic functions, the instantaneous coefficient γ depending on the elliptic modulus. We semiclassically quantize the oscillating circular strings. The string mass is m = * root *C /(πHα′), C being the Casimir operator, C = -LμνLμν, of the O(3,1)-dS [O(2,2)-AdS] group, and H is the Hubble constant. We find α′mdS2* roughly-equal *4n-5H2α′n2 (n* is-an-element-of *N0), and a finite number of states NdS* roughly-equal *0.34/(H2α′) in de Sitter spacetime; mAdS2* roughly-equal *H2n2 (large n* is-an-element-of *N0) and NAdS = ∞ in anti-de Sitter spacetime. The level spacing grows with n in AdS spacetime, while it is approximately constant (although smaller than in Minkowski spacetime and slightly decreasing) in dS spacetime. The massive states in dS spacetime decay through the tunnel effect and the semiclassical decay probability is computed. The semiclassical quantization of exact (circular) strings and the canonical quantization of generic string perturbations around the string center of mass qualitatively agree.
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Format Inist (serveur)
NO : | PASCAL 95-0291912 AIP |
---|---|
ET : | Semiclassical quantization of circular strings in de Sitter and anti-de Sitter spacetimes |
AU : | DE VEGA (H. J.); LARSEN (A. L.); SÁNCHEZ (N.) |
AF : | Laboratoire de Physique Théorique et Hautes Energies, Université de Paris VI et VII, Tour 16, 1er étage, 4, Place Jussieu, 75252 Paris cedex 05, France (1 aut.); Isaac Newton Institute, Cambridge, CB3 0EH, United Kingdom (1 aut.); Observatoire de Paris, DEMIRM, Observatoire de Paris et École Normale Supérieure, 61, Avenue de l'Observatoire, 75014 Paris, France (2 aut., 3 aut.) |
DT : | Publication en série; Niveau analytique |
SO : | Physical Review D (Particles and Fields); ISSN 0556-2821; Coden PRVDAQ; Etats-Unis; Da. 1995-06-15; Vol. 51; No. 12; Pp. 6917-6928 |
LA : | Anglais |
EA : | We compute the exact equation of state of circular strings in the (2+1)-dimensional de Sitter (dS) and anti-de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting, and expanding) strings. The string equation of state has the perfect fluid form P = (γ-1)E, with the pressure and energy expressed closely and completely in terms of elliptic functions, the instantaneous coefficient γ depending on the elliptic modulus. We semiclassically quantize the oscillating circular strings. The string mass is m = * root *C /(πHα′), C being the Casimir operator, C = -LμνLμν, of the O(3,1)-dS [O(2,2)-AdS] group, and H is the Hubble constant. We find α′mdS2* roughly-equal *4n-5H2α′n2 (n* is-an-element-of *N0), and a finite number of states NdS* roughly-equal *0.34/(H2α′) in de Sitter spacetime; mAdS2* roughly-equal *H2n2 (large n* is-an-element-of *N0) and NAdS = ∞ in anti-de Sitter spacetime. The level spacing grows with n in AdS spacetime, while it is approximately constant (although smaller than in Minkowski spacetime and slightly decreasing) in dS spacetime. The massive states in dS spacetime decay through the tunnel effect and the semiclassical decay probability is computed. The semiclassical quantization of exact (circular) strings and the canonical quantization of generic string perturbations around the string center of mass qualitatively agree. |
CC : | 001B10A27; 001B10A25M |
FD : | Etude théorique; 1127; 1125M; Modèle corde; Calcul 3 dimensions; Espace temps; Equation état; Energie; Masse; Quantification; Approximation semiclassique; Opérateur Casimir; Système centre masse; Espace Minkowski |
ED : | Theoretical study; String models; Three-dimensional calculations; Space-time; Equations of state; Energy; Mass; Quantization; Semiclassical approximation; Casimir operators; Center-of-mass system; Minkowski space |
LO : | INIST-144D |
ID : | 95-0291912 |
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Pascal:95-0291912Le document en format XML
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<front><div type="abstract" xml:lang="en">We compute the exact equation of state of circular strings in the (2+1)-dimensional de Sitter (dS) and anti-de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting, and expanding) strings. The string equation of state has the perfect fluid form P = (γ-1)E, with the pressure and energy expressed closely and completely in terms of elliptic functions, the instantaneous coefficient γ depending on the elliptic modulus. We semiclassically quantize the oscillating circular strings. The string mass is m = * root *C /(πHα′), C being the Casimir operator, C = -L<sub>μν</sub>
L<sup>μν</sup>
, of the O(3,1)-dS [O(2,2)-AdS] group, and H is the Hubble constant. We find α′m<sub>dS</sub>
<sup>2</sup>
* roughly-equal *4n-5H<sup>2</sup>
α′n<sup>2</sup>
(n* is-an-element-of *N<sub>0</sub>
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<sup>2</sup>
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n<sup>2</sup>
(large n* is-an-element-of *N<sub>0</sub>
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= ∞ in anti-de Sitter spacetime. The level spacing grows with n in AdS spacetime, while it is approximately constant (although smaller than in Minkowski spacetime and slightly decreasing) in dS spacetime. The massive states in dS spacetime decay through the tunnel effect and the semiclassical decay probability is computed. The semiclassical quantization of exact (circular) strings and the canonical quantization of generic string perturbations around the string center of mass qualitatively agree.</div>
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L<sup>μν</sup>
, of the O(3,1)-dS [O(2,2)-AdS] group, and H is the Hubble constant. We find α′m<sub>dS</sub>
<sup>2</sup>
* roughly-equal *4n-5H<sup>2</sup>
α′n<sup>2</sup>
(n* is-an-element-of *N<sub>0</sub>
), and a finite number of states N<sub>dS</sub>
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<server><NO>PASCAL 95-0291912 AIP</NO>
<ET>Semiclassical quantization of circular strings in de Sitter and anti-de Sitter spacetimes</ET>
<AU>DE VEGA (H. J.); LARSEN (A. L.); SÁNCHEZ (N.)</AU>
<AF>Laboratoire de Physique Théorique et Hautes Energies, Université de Paris VI et VII, Tour 16, 1er étage, 4, Place Jussieu, 75252 Paris cedex 05, France (1 aut.); Isaac Newton Institute, Cambridge, CB3 0EH, United Kingdom (1 aut.); Observatoire de Paris, DEMIRM, Observatoire de Paris et École Normale Supérieure, 61, Avenue de l'Observatoire, 75014 Paris, France (2 aut., 3 aut.)</AF>
<DT>Publication en série; Niveau analytique</DT>
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<EA>We compute the exact equation of state of circular strings in the (2+1)-dimensional de Sitter (dS) and anti-de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting, and expanding) strings. The string equation of state has the perfect fluid form P = (γ-1)E, with the pressure and energy expressed closely and completely in terms of elliptic functions, the instantaneous coefficient γ depending on the elliptic modulus. We semiclassically quantize the oscillating circular strings. The string mass is m = * root *C /(πHα′), C being the Casimir operator, C = -L<sub>μν</sub>
L<sup>μν</sup>
, of the O(3,1)-dS [O(2,2)-AdS] group, and H is the Hubble constant. We find α′m<sub>dS</sub>
<sup>2</sup>
* roughly-equal *4n-5H<sup>2</sup>
α′n<sup>2</sup>
(n* is-an-element-of *N<sub>0</sub>
), and a finite number of states N<sub>dS</sub>
* roughly-equal *0.34/(H<sup>2</sup>
α′) in de Sitter spacetime; m<sub>AdS</sub>
<sup>2</sup>
* roughly-equal *H<sup>2</sup>
n<sup>2</sup>
(large n* is-an-element-of *N<sub>0</sub>
) and N<sub>AdS</sub>
= ∞ in anti-de Sitter spacetime. The level spacing grows with n in AdS spacetime, while it is approximately constant (although smaller than in Minkowski spacetime and slightly decreasing) in dS spacetime. The massive states in dS spacetime decay through the tunnel effect and the semiclassical decay probability is computed. The semiclassical quantization of exact (circular) strings and the canonical quantization of generic string perturbations around the string center of mass qualitatively agree.</EA>
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