Mass Spectrum of Strings in Anti de Sitter Spacetime

Details Mass Spectrum of Strings in Anti de Sitter Spacetime Mass Spectrum of Strings in Anti de Sitter Spacetime

1994-10-18

arxiv.org/abs/hep-th/9410132v1

Phys.Rev. D52 (1995) 1051-1064

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Latex, DEMIRM-Paris-94047

Scientific paper

10.1103/PhysRevD.52.1051

We perform string quantization in anti de Sitter (AdS) spacetime. The string motion is stable, oscillatory in time with real frequencies $\omega_n= \sqrt{n^2+m^2\alpha'^2H^2}$ and the string size and energy are bounded. The string fluctuations around the center of mass are well behaved. We find the mass formula which is also well behaved in all regimes. There is an {\it infinite} number of states with arbitrarily high mass in AdS (in de Sitter (dS) there is a {\it finite} number of states only). The critical dimension at which the graviton appears is $D=25,$ as in de Sitter space. A cosmological constant $\Lambda\neq 0$ (whatever its sign) introduces a {\it fine structure} effect (splitting of levels) in the mass spectrum at all states beyond the graviton. The high mass spectrum changes drastically with respect to flat Minkowski spacetime. For $\Lambda<0,$ we find $\sim \mid\Lambda\mid N^2,$ {\it independent} of $\alpha',$ and the level spacing {\it grows} with the eigenvalue of the number operator, $N.$ The density of states $\rho(m)$ grows like $\mbox{Exp}[(m/\sqrt{\mid\Lambda\mid}\;)^{1/2}]$ (instead of $\rho(m)\sim\mbox{Exp}[m\sqrt{\alpha'}]$ as in Minkowski space), thus {\it discarding} the existence of a critical string temperature. For the sake of completeness, we also study the quantum strings in the black string background, where strings behave, in many respects, as in the ordinary black hole backgrounds. The mass spectrum is equal to the mass spectrum in flat Minkowski space.

Affiliated with

Also associated with

No associations

Rating

Mass Spectrum of Strings in Anti de Sitter Spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mass Spectrum of Strings in Anti de Sitter Spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mass Spectrum of Strings in Anti de Sitter Spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438861