Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls

Hironobu Sakagawa

doi:10.1007/s10955-007-9394-x

Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls

Hironobu Sakagawa

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	537-553
Number of pages	17
Journal	Journal of Statistical Physics
Volume	129
Issue number	3
DOIs	https://doi.org/10.1007/s10955-007-9394-x
Publication status	Published - 2007 Nov

Keywords

Gaussian field
Hard wall
Mass
Random interface
Random walk representation

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s10955-007-9394-x

Cite this

@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",

}

TY - JOUR

T1 - Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls

AU - Sakagawa, Hironobu

N1 - 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.

PY - 2007/11

Y1 - 2007/11

N2 - 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.

AB - 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.

KW - Gaussian field

KW - Hard wall

KW - Mass

KW - Random interface

KW - Random walk representation

UR - http://www.scopus.com/inward/record.url?scp=35348832903&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35348832903&partnerID=8YFLogxK

U2 - 10.1007/s10955-007-9394-x

DO - 10.1007/s10955-007-9394-x

M3 - Article

AN - SCOPUS:35348832903

SN - 0022-4715

VL - 129

SP - 537

EP - 553

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3

ER -

Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this