Bounds on the Mass for the High Dimensional Gaussian Lattice Field between Two Hard Walls |
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| Authors: | Hironobu Sakagawa |
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| Affiliation: | (1) Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, Yokohama 223-8522, Japan |
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| 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. |
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| Keywords: | Gaussian field Hard wall Random interface Mass Random walk representation |
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