Singularities of the renormalization group flow for random elastic manifolds

Details Singularities of the renormalization group flow for random elastic manifolds Singularities of the renormalization group flow for random elastic manifolds

1999-01-20

arxiv.org/abs/cond-mat/9901200v1

Phys. Rev. B 59, 32 (1999)

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 3 pages

Scientific paper

10.1103/PhysRevB.59.32

We consider the singularities of the zero temperature renormalization group flow for random elastic manifolds. When starting from small scales, this flow goes through two particular points $l^{*}$ and $l_{c}$, where the average value of the random squared potential $$ turnes negative ($l^{*}$) and where the fourth derivative of the potential correlator becomes infinite at the origin ($l_{c}$). The latter point sets the scale where simple perturbation theory breaks down as a consequence of the competition between many metastable states. We show that under physically well defined circumstances $l_{c}$ to negative values does not take place.

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