A new lattice approximation for the Høegh-Krohn quantum field model

Sergio Albeverio; Song Liang

doi:10.1016/S0034-4877(04)80011-9

A new lattice approximation for the Høegh-Krohn quantum field model

Sergio Albeverio^*, Song Liang

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

The lattice approximation for the exponential interaction model (Høbegh-Krohn quantum field model) with different lattice cutoffs a, a′ in the free and interacting parts is discussed. It is shown that the continuum limit exists under certain conditions on the dependence a′(a).

Original language	English
Pages (from-to)	149-157
Number of pages	9
Journal	Reports on Mathematical Physics
Volume	54
Issue number	2
DOIs	https://doi.org/10.1016/S0034-4877(04)80011-9
Publication status	Published - 2004 Oct
Externally published	Yes

Keywords

Continuum limit
Høegh-Krohn model
Lattice approximation
Quantum fields

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1016/S0034-4877(04)80011-9

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title = "A new lattice approximation for the H{\o}egh-Krohn quantum field model",

abstract = "The lattice approximation for the exponential interaction model (H{\o}begh-Krohn quantum field model) with different lattice cutoffs a, a′ in the free and interacting parts is discussed. It is shown that the continuum limit exists under certain conditions on the dependence a′(a).",

keywords = "Continuum limit, H{\o}egh-Krohn model, Lattice approximation, Quantum fields",

author = "Sergio Albeverio and Song Liang",

note = "Funding Information: The second author is partially financially supported by Alexander von Humboldt Foundation (Germany) and Grant-in-Aid for the Encouragement of Young Scientists (No. 15740057), Japan Society for the Promotion of Science.",

year = "2004",

month = oct,

doi = "10.1016/S0034-4877(04)80011-9",

language = "English",

volume = "54",

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journal = "Reports on Mathematical Physics",

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T1 - A new lattice approximation for the Høegh-Krohn quantum field model

AU - Albeverio, Sergio

AU - Liang, Song

N1 - Funding Information: The second author is partially financially supported by Alexander von Humboldt Foundation (Germany) and Grant-in-Aid for the Encouragement of Young Scientists (No. 15740057), Japan Society for the Promotion of Science.

PY - 2004/10

Y1 - 2004/10

N2 - The lattice approximation for the exponential interaction model (Høbegh-Krohn quantum field model) with different lattice cutoffs a, a′ in the free and interacting parts is discussed. It is shown that the continuum limit exists under certain conditions on the dependence a′(a).

AB - The lattice approximation for the exponential interaction model (Høbegh-Krohn quantum field model) with different lattice cutoffs a, a′ in the free and interacting parts is discussed. It is shown that the continuum limit exists under certain conditions on the dependence a′(a).

KW - Continuum limit

KW - Høegh-Krohn model

KW - Lattice approximation

KW - Quantum fields

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U2 - 10.1016/S0034-4877(04)80011-9

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EP - 157

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

SN - 0034-4877

IS - 2

ER -

A new lattice approximation for the Høegh-Krohn quantum field model

Abstract

Keywords

ASJC Scopus subject areas

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