Contractor renormalization group technology and exact Hamiltonian real-space renormalization group transformations

被引:81
作者
Morningstar, CJ [1 ]
Weinstein, M [1 ]
机构
[1] STANFORD UNIV, STANFORD LINEAR ACCELERATOR CTR, STANFORD, CA 94309 USA
关键词
D O I
10.1103/PhysRevD.54.4131
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The contractor renormalization group method, a new approach to solving Hamiltonian lattice systems, is presented. The method. defines a systematic and nonperturbative means of implementing Kadanoff-Wilson real-space renormalization group transformations using cluster expansion and contraction techniques. We illustrate the approach and demonstrate its effectiveness using scalar field theory, the Heisenberg antiferromagnetic chain, and the anisotropic Ising chain. Future applications to the Hubbard and t-J models and lattice gauge theory are discussed.
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页码:4131 / 4151
页数:21
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