@article{cb67aa0486154cdeaf4ce08c0d42bf7a,
title = "Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls",
abstract = "We consider the d(≥3)-dimensional Gaussian lattice field confined between two hard walls. We show that the field becomes massive and identify the precise asymptotic behavior of the mass and the variance of the field as the height of the wall goes to infinity.",
keywords = "Gaussian field, Hard wall, Mass, Random interface, Random walk representation",
author = "Hironobu Sakagawa",
note = "Funding Information: Acknowledgements The author would like to thank E. Bolthausen for suggesting the problem and many helpful advises. This work was partially supported by JSPS Postdoctoral Fellowships for Research Abroad and by the Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Young Scientists (B), No. 19740054.",
year = "2007",
month = nov,
doi = "10.1007/s10955-007-9394-x",
language = "English",
volume = "129",
pages = "537--553",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "3",
}