Quantum Geometry of Bosonic Strings
Quantum Geometry of Bosonic Strings
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DOI：
10.1016/0370-2693(81)90743-7
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发表时间：
1981-07
影响因子：
4.4
通讯作者：
A. Polyakov
中科院分区：
文献类型：
--
作者：
A. Polyakov
我们发展了一种计算随机表面上的和的形式，这些表面出现在所有包含规范不变性的问题中（如QCD，三维伊辛模型等）。这些款项减少到精确可解的量子理论的二维刘维尔拉格朗日。在D = 26时，弦动力学是谐振子的动力学，正如对偶理论家先前所预言的那样，否则它由非线性可积理论描述。
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.