Hausdorff dimension of a quantum string

Details Hausdorff dimension of a quantum string Hausdorff dimension of a quantum string

1997-05-03

arxiv.org/abs/hep-th/9705010v1

Phys.Rev. D56 (1997) 2352-2361

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, non figures, ReVTeX 3.0, in print on Phys.Rev.D

Scientific paper

10.1103/PhysRevD.56.2352

In the path integral formulation of quantum mechanics, Feynman and Hibbs noted that the trajectory of a particle is continuous but nowhere differentiable. We extend this result to the quantum mechanical path of a relativistic string and find that the ``trajectory'', in this case, is a fractal surface with Hausdorff dimension three. Depending on the resolution of the detecting apparatus, the extra dimension is perceived as ``fuzziness'' of the string world-surface. We give an interpretation of this phenomenon in terms of a new form of the uncertainty principle for strings, and study the transition from the smooth to the fractal phase.

Affiliated with

Also associated with

No associations

Rating

Hausdorff dimension of a quantum string 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 Hausdorff dimension of a quantum string, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hausdorff dimension of a quantum string will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-593407