Quantum geometry of bosonic strings

A. M. Polyakov

Research output: Contribution to journalArticlepeer-review

2430 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)207-210
Number of pages4
JournalPhysics Letters B
Issue number3
StatePublished - Jul 23 1981

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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