Minimum Physical Length and the Generalized Uncertainty Principle in String Theory

Oct, 1989
9 pages
Published in:
  • Phys.Lett.B 234 (1990) 276-284
  • Published: 1990
Report number:
  • IFUP-TH-46-89,
  • GEF-TH-89-9

Citations per year

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Abstract: (Elsevier)
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 −33 cm) and generalized form of the uncertainty principle, and discuss some of their consequences.
  • string model
  • path integral
  • approximation: lattice
  • fundamental constant: length
  • uncertainty relations
  • renormalization group