Spontaneous versus explicit replica symmetry breaking in the theory of disordered systems
Copyright policy )Spontaneous versus explicit replica symmetry breaking in the theory of disordered systems
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.
16 pages
Models, Statistical, Statistical Mechanics (cond-mat.stat-mech), Biophysics, Normal Distribution, Systems Theory, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Models, Theoretical, Nonlinear Dynamics, Computer Simulation, Glass, Condensed Matter - Statistical Mechanics, Algorithms
Models, Statistical, Statistical Mechanics (cond-mat.stat-mech), Biophysics, Normal Distribution, Systems Theory, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Models, Theoretical, Nonlinear Dynamics, Computer Simulation, Glass, Condensed Matter - Statistical Mechanics, Algorithms
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