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Bounds on the Mass for the High Dimensional Gaussian Lattice Field between Two Hard Walls

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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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, Yokohama, 223-8522, Japan

    Hironobu Sakagawa

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  1. Hironobu Sakagawa
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Correspondence to Hironobu Sakagawa.

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Sakagawa, H. Bounds on the Mass for the High Dimensional Gaussian Lattice Field between Two Hard Walls. J Stat Phys 129, 537–553 (2007). https://doi.org/10.1007/s10955-007-9394-x

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  • DOI: https://doi.org/10.1007/s10955-007-9394-x

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