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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 ; Kleinert, Hagen ; 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, 65 (17)
doi: 10.1103/PhysRevB.65.174512
Artikel, Bibliographie

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2002
Autor(en): Kastening, Boris ; Kleinert, Hagen ; Van den Bossche, Bruno
Art des Eintrags: Bibliographie
Titel: Three-loop ground-state energy of O(N)-symmetric Ginzburg-Landau theory above Tc in 4-ɛ dimensions with minimal subtraction
Sprache: Englisch
Publikationsjahr: 19 April 2002
Verlag: American Physical Society
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Physical Review B
Jahrgang/Volume einer Zeitschrift: 65
(Heft-)Nummer: 17
DOI: 10.1103/PhysRevB.65.174512
Kurzbeschreibung (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.

Fachbereich(e)/-gebiet(e): 11 Fachbereich Material- und Geowissenschaften
11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft
11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Fachgebiet Dünne Schichten
Hinterlegungsdatum: 07 Jan 2013 12:08
Letzte Änderung: 02 Mär 2022 13:46
PPN:
Sponsoren: 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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