Infrared regular representation of the three-dimensional massless Nelson model

József Lőrinczi; Robert A. Minlos; Herbert Spohn

doi:10.1023/A:1015528401907

Infrared regular representation of the three-dimensional massless Nelson model

József Lőrinczi
, Robert A. Minlos
, Herbert Spohn

TUM Emeriti of Excellence

Technical University of Munich
Institute for Information Transmission Problems of the Russian Academy of Sciences

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

17 Scopus citations

Abstract

We prove that in the Euclidean representation of the three-dimensional massless Nelson model, the t = 0 projection of the interacting measure is absolutely continuous with respect to a Gaussian measure with a suitably adjusted mean. We also determine the Hamiltonian in the Fock space over this Gaussian measure space.

Original language	English
Pages (from-to)	189-198
Number of pages	10
Journal	Letters in Mathematical Physics
Volume	59
Issue number	3
DOIs	https://doi.org/10.1023/A:1015528401907
State	Published - Mar 2002

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title = "Infrared regular representation of the three-dimensional massless Nelson model",

abstract = "We prove that in the Euclidean representation of the three-dimensional massless Nelson model, the t = 0 projection of the interacting measure is absolutely continuous with respect to a Gaussian measure with a suitably adjusted mean. We also determine the Hamiltonian in the Fock space over this Gaussian measure space.",

author = "J{\'o}zsef L{\H o}rinczi and Minlos, \{Robert A.\} and Herbert Spohn",

note = "Funding Information: R.A.M. thanks Zentrum Mathematik of Technische Universit{\`I}t Mˇnchen for warm hospitality and ¢nancial support. He also thanks the Russian Fundamental Research Foundation (grants 99-01-00284 and 00-01-00271) and C RDF (grant NRM 1-2085) for ¢nancial support.",

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doi = "10.1023/A:1015528401907",

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T1 - Infrared regular representation of the three-dimensional massless Nelson model

AU - Lőrinczi, József

AU - Minlos, Robert A.

AU - Spohn, Herbert

N1 - Funding Information: R.A.M. thanks Zentrum Mathematik of Technische UniversitÌt Mˇnchen for warm hospitality and ¢nancial support. He also thanks the Russian Fundamental Research Foundation (grants 99-01-00284 and 00-01-00271) and C RDF (grant NRM 1-2085) for ¢nancial support.

PY - 2002/3

Y1 - 2002/3

N2 - We prove that in the Euclidean representation of the three-dimensional massless Nelson model, the t = 0 projection of the interacting measure is absolutely continuous with respect to a Gaussian measure with a suitably adjusted mean. We also determine the Hamiltonian in the Fock space over this Gaussian measure space.

AB - We prove that in the Euclidean representation of the three-dimensional massless Nelson model, the t = 0 projection of the interacting measure is absolutely continuous with respect to a Gaussian measure with a suitably adjusted mean. We also determine the Hamiltonian in the Fock space over this Gaussian measure space.

UR - https://www.scopus.com/pages/publications/0041366943

U2 - 10.1023/A:1015528401907

DO - 10.1023/A:1015528401907

M3 - Article

AN - SCOPUS:0041366943

SN - 0377-9017

VL - 59

SP - 189

EP - 198

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

ER -

Infrared regular representation of the three-dimensional massless Nelson model

Abstract

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