Spontaneous versus explicit replica symmetry breaking in the theory of disordered systems

被引:11
作者
Mouhanna, D. [1 ]
Tarjus, G. [1 ]
机构
[1] UPMC, LPTMC, CNRS UMR 7600, F-75252 Paris 05, France
来源
PHYSICAL REVIEW E | 2010年 / 81卷 / 05期
关键词
FUNCTIONAL RENORMALIZATION-GROUP; PINNED ELASTIC-SYSTEMS; FIELD ISING-MODEL; LONG-RANGE ORDER; FLUCTUATIONS; EXPANSION; MANIFOLDS; ENERGY; STATES; CREEP;
D O I
10.1103/PhysRevE.81.051101
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We investigate the relation between spontaneous and explicit replica symmetry breaking in the theory of disordered systems. On general ground, we prove the equivalence between the replicon operator associated with the stability of the replica-symmetric solution in the standard replica scheme and the operator signaling a breakdown of the solution with analytic field dependence in a scheme in which replica symmetry is explicitly broken by applied sources. This opens the possibility to study, via the recently developed functional renormalization group, unresolved questions related to spontaneous replica symmetry breaking and spin-glass behavior in finite-dimensional disordered systems.
引用
收藏
页数:15
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