Removal of UV Cutoff for the Nelson Model with Variable Coefficients

Christian Gérard; Fumio Hiroshima; Annalisa Panati; Akito Suzuki

doi:10.1007/s11005-012-0577-2

Removal of UV Cutoff for the Nelson Model with Variable Coefficients

Christian Gérard, Fumio Hiroshima, Annalisa Panati, Akito Suzuki

Department of Mathematics

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

5 Citations (Scopus)

Abstract

We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metric, allowing also the boson mass to depend on position. We study the removal of the ultraviolet cutoff.

Original language	English
Pages (from-to)	305-322
Number of pages	18
Journal	Letters in Mathematical Physics
Volume	101
Issue number	3
DOIs	https://doi.org/10.1007/s11005-012-0577-2
Publication status	Published - Sep 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Removal of UV Cutoff for the Nelson Model with Variable Coefficients",

abstract = "We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metric, allowing also the boson mass to depend on position. We study the removal of the ultraviolet cutoff.",

author = "Christian G{\'e}rard and Fumio Hiroshima and Annalisa Panati and Akito Suzuki",

year = "2012",

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doi = "10.1007/s11005-012-0577-2",

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journal = "Letters in Mathematical Physics",

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AU - Gérard, Christian

AU - Hiroshima, Fumio

AU - Panati, Annalisa

AU - Suzuki, Akito

PY - 2012/9

Y1 - 2012/9

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AB - We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metric, allowing also the boson mass to depend on position. We study the removal of the ultraviolet cutoff.

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EP - 322

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

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