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A simple fluctuation lower bound for a disordered massless random continuous spin model in $d=2$

   
@article{ECP1218,
	author = {Christof Kuelske and Enza Orlandi},
	title = {A simple fluctuation lower bound for a disordered  massless random continuous spin model in $d=2$},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {11},
	year = {2006},
	keywords = {Interfaces, quenched systems, continuous spin models, entropy inequality},
	abstract = {We prove a finite volume lower bound of the order $\sqrt{\log N}$ on the delocalization of a disordered continuous spin model (resp. effective interface model) in $d=2$ in a box of size $N$.  The interaction is assumed to be massless, possibly anharmonic and dominated from above by a  Gaussian. Disorder is entering via a linear source term. For this model delocalization with the same rate is proved to take place already without disorder. We provide a bound that is  uniform in the configuration of the disorder, and so our proof shows that disorder will only enhance fluctuations.},
	pages = {no. 21, 200-205},
	issn = {1083-589X},
	doi = {10.1214/ECP.v11-1218},    
        url = {http://ecp.ejpecp.org/article/view/1218}}