Application of the renormalization group method to the problem of phase transition in one-dimensional metallic systems. III. Extension of the calculation to arbitrary energy variables

N. Menyhárd, J. Sólyom

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Abstract

The applicability of the multiplicative renormalization approach to onedimensional Fermi systems is further investigated. By extending the calculation to arbitrary energy variables it is proved that at least up to second order the reduced vertices and the Green's function do obey the renormalization group equations with renormalization factors independent of the energy variables. The Lie equations for the two-variable vertex are discussed. The vertices have been determined for special choices of the energy variables and agreement with the parquet diagram summation is obtained.

Original languageEnglish
Pages (from-to)431-446
Number of pages16
JournalJournal of Low Temperature Physics
Volume21
Issue number3-4
DOIs
Publication statusPublished - Nov 1975

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renormalization group methods
Green's function
Phase transitions
apexes
energy
Green's functions
diagrams

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "The applicability of the multiplicative renormalization approach to onedimensional Fermi systems is further investigated. By extending the calculation to arbitrary energy variables it is proved that at least up to second order the reduced vertices and the Green's function do obey the renormalization group equations with renormalization factors independent of the energy variables. The Lie equations for the two-variable vertex are discussed. The vertices have been determined for special choices of the energy variables and agreement with the parquet diagram summation is obtained.",
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N2 - The applicability of the multiplicative renormalization approach to onedimensional Fermi systems is further investigated. By extending the calculation to arbitrary energy variables it is proved that at least up to second order the reduced vertices and the Green's function do obey the renormalization group equations with renormalization factors independent of the energy variables. The Lie equations for the two-variable vertex are discussed. The vertices have been determined for special choices of the energy variables and agreement with the parquet diagram summation is obtained.

AB - The applicability of the multiplicative renormalization approach to onedimensional Fermi systems is further investigated. By extending the calculation to arbitrary energy variables it is proved that at least up to second order the reduced vertices and the Green's function do obey the renormalization group equations with renormalization factors independent of the energy variables. The Lie equations for the two-variable vertex are discussed. The vertices have been determined for special choices of the energy variables and agreement with the parquet diagram summation is obtained.

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