Quantum geometry of bosonic strings

Alexander M. Polyakov

doi:10.1016/0370-2693(81)90743-7

Quantum geometry of bosonic strings

Alexander M. Polyakov

Research output: Contribution to journal › Article › peer-review

2390 Scopus citations

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.

Original language	English (US)
Pages (from-to)	207-210
Number of pages	4
Journal	Physics Letters B
Volume	103
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(81)90743-7
State	Published - Jul 23 1981
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0370-2693(81)90743-7

Cite this

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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.",

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AB - 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.

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Quantum geometry of bosonic strings

Abstract

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