Effective large-scale model of boson gas from microscopic theory

Research output

1 Citation (Scopus)

Abstract

An effective large-scale model of interacting boson gas at low temperatures is constructed from first principles. The starting point is the generating function of time-dependent Green functions at finite temperature. The perturbation expansion is worked out for the generic case of finite time interval and grand-canonical density operator with the use of the S-matrix functional for the generating function. Apparent infrared divergences of the perturbation expansion are pointed out. Regularization via attenuation of propagators is proposed and the relation to physical dissipation is studied. Problems of functional-integral representation of Green functions are analyzed. The proposed large-scale model is explicitly renormalized at the leading order.

Original languageEnglish
Pages (from-to)105-129
JournalNuclear Physics B
Volume939
Early online date21 Dec 2018
DOIs
Publication statusPublished - Feb 2019

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scale models
Green's functions
bosons
perturbation
expansion
gases
divergence
dissipation
attenuation
intervals
operators
propagation
matrices
temperature

Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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title = "Effective large-scale model of boson gas from microscopic theory",
abstract = "An effective large-scale model of interacting boson gas at low temperatures is constructed from first principles. The starting point is the generating function of time-dependent Green functions at finite temperature. The perturbation expansion is worked out for the generic case of finite time interval and grand-canonical density operator with the use of the S-matrix functional for the generating function. Apparent infrared divergences of the perturbation expansion are pointed out. Regularization via attenuation of propagators is proposed and the relation to physical dissipation is studied. Problems of functional-integral representation of Green functions are analyzed. The proposed large-scale model is explicitly renormalized at the leading order.",
author = "Juha Honkonen and Komarova, {M. V.} and Molotkov, {Yu. G.} and Nalimov, {M. Yu}",
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AU - Honkonen, Juha

AU - Komarova, M. V.

AU - Molotkov, Yu. G.

AU - Nalimov, M. Yu

PY - 2019/2

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AB - An effective large-scale model of interacting boson gas at low temperatures is constructed from first principles. The starting point is the generating function of time-dependent Green functions at finite temperature. The perturbation expansion is worked out for the generic case of finite time interval and grand-canonical density operator with the use of the S-matrix functional for the generating function. Apparent infrared divergences of the perturbation expansion are pointed out. Regularization via attenuation of propagators is proposed and the relation to physical dissipation is studied. Problems of functional-integral representation of Green functions are analyzed. The proposed large-scale model is explicitly renormalized at the leading order.

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