ON THE BETHE ANSATZ FOR RANDOM DIRECTED POLYMERS

被引：49

作者：

BOUCHAUD, JP

ORLAND, H

机构：

[1] UNIV PARIS 06,PHYS STAT LAB,F-75231 PARIS 05,FRANCE

[2] GEA,INST RECH FONDAMENTALE LAB,SERV PHYS THEOR,GIF SUR YVETTE,FRANCE

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 61卷 / 3-4期

关键词：

DIRECTED POLYMERS; REPLICA SYMMETRY BREAKING; INTERFACE IN RANDOM ENVIRONMENTS;

D O I：

10.1007/BF01027306

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the inclusion of the (gapless) center-of-mass motion together with a functional integral representation of the Bethe wave function allows one to predict exactly the critical exponents for random directed polymers in (1 + 1) dimensions. The corresponding amplitudes are computed; they compare satisfactorily with existing numerical data. Within a replica-symmetric theory, we find that the Green function of the polymer has the form recently proposed by Parisi.

引用

页码：877 / 884

页数：8

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