Quantum geometry of bosonic strings
Abstract
We develop a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.). These sums are reduced to the exactly solvable quantum theory of the two-dimensional Liouville lagrangian. At D = 26 the string dynamics is that of harmonic oscillators as was predicted earlier by dual theorists, otherwise it is described by the nonlinear integrable theory.
- Publication:
-
Physics Letters B
- Pub Date:
- July 1981
- DOI:
- 10.1016/0370-2693(81)90743-7
- Bibcode:
- 1981PhLB..103..207P