Abstract:
The reparametrization transformation between ultrametrically organised states of replicated disordered systems is explicitly defined. The invariance of the longitudinal free energy under this transformation, i.e. reparametrization invariance, is shown to be a direct consequence of the higher level symmetry of replica equivalence. The double limit of infinite step replica symmetry breaking and is needed to derive this continuous gauge-like symmetry from the discrete permutation invariance of the n replicas. Goldstone's theorem and Ward identities can be deduced from the disappearance of the second (and higher order) variation of the longitudinal free energy. We recall also how these and other exact statements follow from permutation symmetry after introducing the concept of “infinitesimal" permutations.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 21 July 2000
Rights and permissions
About this article
Cite this article
Temesvári, T., Kondor, I. & De Dominicis, C. Reparametrization invariance: a gauge-like symmetry of ultrametrically organised states. Eur. Phys. J. B 18, 493–500 (2000). https://doi.org/10.1007/s100510070038
Issue Date:
DOI: https://doi.org/10.1007/s100510070038