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

4 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 1 2012

Fingerprint

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Cite this

Gérard, C., Hiroshima, F., Panati, A., & Suzuki, A. (2012). Removal of UV Cutoff for the Nelson Model with Variable Coefficients. Letters in Mathematical Physics, 101(3), 305-322. https://doi.org/10.1007/s11005-012-0577-2

@article{781c5aeb67b545f0bbb326adb31ed168,

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",

month = "9",

day = "1",

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

language = "English",

volume = "101",

pages = "305--322",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Removal of UV Cutoff for the Nelson Model with Variable Coefficients

AU - Gérard, Christian

AU - Hiroshima, Fumio

AU - Panati, Annalisa

AU - Suzuki, Akito

PY - 2012/9/1

Y1 - 2012/9/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84865402993&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865402993&partnerID=8YFLogxK

U2 - 10.1007/s11005-012-0577-2

DO - 10.1007/s11005-012-0577-2

M3 - Article

AN - SCOPUS:84865402993

VL - 101

SP - 305

EP - 322

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -

Access to Document

10.1007/s11005-012-0577-2