Singularities of the renormalization-group flow for random elastic manifolds
- 1 January 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 59 (1) , 32-33
- https://doi.org/10.1103/physrevb.59.32
Abstract
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 and where the average value of the random squared potential turns negative and where the fourth derivative of the potential correlator becomes infinite at the origin 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 and thus the apparent renormalization of to negative values does not take place.
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