AdS/CFT Correspondence, Critical Strings and Stochastic Quantization

Details AdS/CFT Correspondence, Critical Strings and Stochastic Quantization AdS/CFT Correspondence, Critical Strings and Stochastic Quantization

2000-05-10

arxiv.org/abs/hep-th/0005094v2

Class.Quant.Grav. 18 (2001) 1979

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, TeX. Misprints and typos corrected, references added

Scientific paper

10.1088/0264-9381/18/10/311

We show that dilaton beta-function equation in the brane-like sigma-model (regarded as NSR analogue of string theory on $AdS_5\times{S^5}$) has the form of stochastic Langevin equation with non-Markovian noise. The worldsheet cutoff is identified with stochastic time and the $V_5$-operator plays the role of the noise. We derive the Fokker-Planck equation associated with this stochastic process and show that the Hamiltonian of the $AdS_5$ supergravity defines the distribution satisfying this Fokker-Planck equation. This means that the dynamical compactification of flat ten-dimensional space-time on $AdS_5\times{S^5}$ occurs as a result of the non-Markovian stochastic process, generated by the $V_5$-operator noise. This provides us with an insight into relation between holography principle and the concept of stochastic quantization from the point of view of critical string theory.

Affiliated with

Also associated with

No associations

Rating

AdS/CFT Correspondence, Critical Strings and Stochastic Quantization 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 AdS/CFT Correspondence, Critical Strings and Stochastic Quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and AdS/CFT Correspondence, Critical Strings and Stochastic Quantization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-637116