THE HAMILTONIAN SPECTRUM OF DIRECTED PERCOLATION

被引:19
作者
HENKEL, M [1 ]
HERRMANN, HJ [1 ]
机构
[1] CENS, SERV PHYS THEOR, F-91191 GIF SUR YVETTE, FRANCE
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 16期
关键词
D O I
10.1088/0305-4470/23/16/020
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The authors calculate the spectrum of a quantum Hamiltonian which is in the universality class of the Reggeon field theory and directed percolation. They find that its low-lying states follow a self-similarity close to the one encountered in the exactly solvable transverse XY model. The spectrum can, in the finite-size scaling limit, approximately be described by excitations with a dispersion relation ktheta on the lattice instead of the k 2 behaviour of the transverse XY model.
引用
收藏
页码:3719 / 3727
页数:9
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