Minimum physical length and the generalized uncertainty principle in string theory

doi:10.1016/0370-2693(90)91927-4

Physics Letters B

Volume 234, Issue 3, 11 January 1990, Pages 276-284

https://doi.org/10.1016/0370-2693(90)91927-4 Get rights and content

Abstract

A possible definition of path integrals for string theory is studied, based on a discretized version of Polyakov's generating functional. The finite resolution of string theory, as opposed to the infinite resolution in particle theory, clearly emerges from a renormalization group type analysis. We derive the existence of a minimum physical length (∼10⁻³³cm) and generalized form of the uncertainty principle, and discuss some of their consequences.

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Minimum physical length and the generalized uncertainty principle in string theory

Abstract

CERN-TH.5366

Phys. Lett. B

Intern. J. Mod. Phys. A

JETP Lett.

Superstring theory

Superstrings

Quantum mechanics and path integrals

Phys. Rev. D

Gauge fields and strings

Techniques and applications of path integration

J. Math. Phys.

Rev. Mod. Phys.