CONTINUOUSLY VARYING EXPONENTS FOR ORIENTED SELF-AVOIDING WALKS

被引:18
作者
CARDY, J [1 ]
机构
[1] DEPT PHYS THEORET PHYS,OXFORD OX1 3NP,ENGLAND
关键词
D O I
10.1016/0550-3213(94)90337-9
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
A two-dimensional conformal field theory with a conserved U(1) current J, when perturbed by the operator J2, exhibits a line of fixed points along which the scaling dimensions of the operators with non-zero U(1) charge vary continuously. This result is applied to the problem of oriented polymers (self-avoiding walks) in which the short-range repulsive interactions between two segments depend on their relative orientation. While the exponent nu describing the fractal dimension of such walks remains fixed, the exponent gamma, which gives the total number is similar to N(gamma-1)mu(N) of such walks, is predicted to vary continuously with the energy difference.
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页码:411 / 423
页数:13
相关论文
共 10 条
[1]  
[Anonymous], 1986, JETP LETT+
[2]  
CARDY JL, IN PRESS PHYS REV LE
[3]   STATISTICAL-MECHANICS OF POLYMER NETWORKS OF ANY TOPOLOGY [J].
DUPLANTIER, B .
JOURNAL OF STATISTICAL PHYSICS, 1989, 54 (3-4) :581-680
[4]   EXACT TRICRITICAL EXPONENTS FOR POLYMERS AT THE THETA-POINT IN 2 DIMENSIONS [J].
DUPLANTIER, B ;
SALEUR, H .
PHYSICAL REVIEW LETTERS, 1987, 59 (05) :539-542
[5]   CONFORMAL-INVARIANCE, UNITARITY, AND CRITICAL EXPONENTS IN 2 DIMENSIONS [J].
FRIEDAN, D ;
QIU, Z ;
SHENKER, S .
PHYSICAL REVIEW LETTERS, 1984, 52 (18) :1575-1578
[6]  
GUTTMANN AJ, COMMUNICATION
[7]   DIRECTION DIRECTION CORRELATIONS OF ORIENTED POLYMERS [J].
MILLER, JD .
JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (1-2) :89-113
[8]  
NIENHUIS B, COMMUNICATION
[9]  
NIENHUIS B, 1986, PHASE TRANSITIONS CR, V11
[10]   NEW EXACT EXPONENTS FOR TWO-DIMENSIONAL SELF-AVOIDING WALKS [J].
SALEUR, H .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (13) :L807-L810