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
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.
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页码:877 / 884
页数:8
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