Liouville field theory of fluctuating loops

被引:39
作者
Kondev, J
机构
[1] Department of Physics, Brown University, Providence, RI
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.78.4320
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Effective field theories of two-dimensional lattice models of fluctuating loops are constructed by mapping them onto random surfaces whose large scale fluctuations are described by a Liouville field theory. This provides a geometrical view of conformal invariance in two-dimensional critical phenomena and a method for calculating critical properties of loop models exactly. As an application of the method, the conformal charge and critical exponents for two mutually excluding Hamiltonian walks on the square lattice are calculated.
引用
收藏
页码:4320 / 4323
页数:4
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