Critical line of the Φ⁴ scalar field theory on a 4D cubic lattice in the local potential approximation

We establish the critical line of the one-component Φ⁴ (or Landau-Ginzburg) model on a simple four dimensional cubic lattice. Our study is performed in the framework of the non-perturbative renormalization group in the local potential approximation with a soft infra-red regulator. The transition is...

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Збережено в:
Бібліографічні деталі
Дата:2013
Автор: Caillol, J.-M.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2013
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/120849
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Critical line of the Φ⁴ scalar field theory on a 4D cubic lattice in the local potential approximation / J.-M. Caillol // Condensed Matter Physics. — 2013. — Т. 16, № 4. — С. 43005:1-14 . — Бібліогр.: 43 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме:We establish the critical line of the one-component Φ⁴ (or Landau-Ginzburg) model on a simple four dimensional cubic lattice. Our study is performed in the framework of the non-perturbative renormalization group in the local potential approximation with a soft infra-red regulator. The transition is found to be of second order even in the Gaussian limit where first order would be expected according to some recent theoretical predictions.