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Three-loop ground-state energy of O(N)-symmetric Ginzburg-Landau theory above Tc in 4-ɛ dimensions with minimal subtraction

Kastening, Boris and Kleinert, Hagen and Van den Bossche, Bruno (2002):
Three-loop ground-state energy of O(N)-symmetric Ginzburg-Landau theory above Tc in 4-ɛ dimensions with minimal subtraction.
In: Physical Review B, American Physical Society, pp. 174512(1)-174512(7), 65, (17), ISSN 0163-1829, [Online-Edition: http://dx.doi.org/10.1103/PhysRevB.65.174512],
[Article]

Abstract

As a step towards deriving universal amplitude ratios of the superconductive phase transition we calculate the vacuum energy density in the symmetric phase of O(N)-symmetric scalar QED in D=4-e dimensions in an e expansion using the minimal subtraction scheme commonly denoted by MS. From the diverging parts of the diagrams, we obtain the renormalization constant of the vacuum Zv which also contains information on the critical exponent a of the specific heat. As a side result, we use an earlier two-loop calculation of the effective potential [H. Kleinert and B. Van den Bossche, cond-mat/0104102] to determine the renormalization constant of the scalar field Zf up to two loops.

Item Type: Article
Erschienen: 2002
Creators: Kastening, Boris and Kleinert, Hagen and Van den Bossche, Bruno
Title: Three-loop ground-state energy of O(N)-symmetric Ginzburg-Landau theory above Tc in 4-ɛ dimensions with minimal subtraction
Language: English
Abstract:

As a step towards deriving universal amplitude ratios of the superconductive phase transition we calculate the vacuum energy density in the symmetric phase of O(N)-symmetric scalar QED in D=4-e dimensions in an e expansion using the minimal subtraction scheme commonly denoted by MS. From the diverging parts of the diagrams, we obtain the renormalization constant of the vacuum Zv which also contains information on the critical exponent a of the specific heat. As a side result, we use an earlier two-loop calculation of the effective potential [H. Kleinert and B. Van den Bossche, cond-mat/0104102] to determine the renormalization constant of the scalar field Zf up to two loops.

Journal or Publication Title: Physical Review B
Volume: 65
Number: 17
Publisher: American Physical Society
Divisions: 11 Department of Materials and Earth Sciences > Material Science > Advanced Thin Film Technology
11 Department of Materials and Earth Sciences > Material Science
11 Department of Materials and Earth Sciences
Date Deposited: 07 Jan 2013 12:08
Official URL: http://dx.doi.org/10.1103/PhysRevB.65.174512
Identification Number: doi:10.1103/PhysRevB.65.174512
Funders: The work of B. VdB. was supported by the Alexander von Humboldt foundation and the Institut Interuniversitaire des Sciences Nucléaires de Belgique.
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