Quantum geometry of bosonic strings

A. M. Polyakov

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

Quantum geometry of bosonic strings

A. M. Polyakov

Physics

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

2517 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

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/0370-2693(81)90743-7

Cite this

@article{e8177dc66ba2443686b3dd2ea57b98fd,

title = "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.",

author = "Polyakov, {A. M.}",

year = "1981",

month = jul,

day = "23",

doi = "10.1016/0370-2693(81)90743-7",

language = "English (US)",

volume = "103",

pages = "207--210",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Quantum geometry of bosonic strings

AU - Polyakov, A. M.

PY - 1981/7/23

Y1 - 1981/7/23

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=4243226043&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243226043&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(81)90743-7

DO - 10.1016/0370-2693(81)90743-7

M3 - Article

AN - SCOPUS:4243226043

SN - 0370-2693

VL - 103

SP - 207

EP - 210

JO - Physics Letters B

JF - Physics Letters B

IS - 3

ER -

Quantum geometry of bosonic strings

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this