| Issue |
EPL
Volume 105, Number 1, January 2014
|
|
|---|---|---|
| Article Number | 16002 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/105/16002 | |
| Published online | 31 January 2014 | |
Non-Gaussian effects and multifractality in the Bragg glass
1 CNRS-Laboratoire de Physique, Ecole Normale Supérieure de Lyon - 46 allée d'Italie, 69007 Lyon, France
2 CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure -24 rue Lhomond,75005 Paris, France
Received: 27 September 2013
Accepted: 21 December 2013
We study, beyond the Gaussian approximation, the decay of the translational order correlation function for a d-dimensional scalar periodic elastic system in a disordered environment. We develop a method based on functional determinants, equivalent to summing an infinite set of diagrams. We obtain, in dimension 
, the even n-th cumulant of relative displacements as ![$\overline{\left<[u(r)-u(0)]^n\right>}^{\text{c}}\simeq {\cal A}_n \ln r$](/articles/epl/abs/2014/01/epl16008/epl16008_tex_eq2.png)
with 
, as well as the multifractal dimension xq of the exponential field 
. As a corollary, we obtain an analytic expression for a class of n-loop integrals in d = 4, which appear in the perturbative determination of Konishi amplitudes, also accessible via AdS/CFT using integrability.
PACS: 68.35.Rh – Phase transitions and critical phenomena / 11.25.Tq – Gauge/string duality
© EPLA, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.