Fulfillment of Ward identities in the functional renormalization group approach

A. A. Katanin

Результат исследований: Вклад в журналСтатьярецензирование

107 Цитирования (Scopus)

Аннотация

We consider the fulfillment of conservation laws and Ward identities in the one- and two-loop functional renormalization group approach. It is shown that in a one-particle irreducible scheme of this approach Ward identities are fulfilled only with the accuracy of the neglected two-loop terms O(V Λ3) at one-loop order, and with the accuracy O(VΛ4) at two-loop order (VΛ is the effective interaction vertex at scale Λ). The one-particle self-consistent version of the two-loop renormalization group equations which leads to smaller errors in Ward identities due to the absence of the terms with nonoverlapping loops, is proposed. In particular, these modified equations exactly satisfy Ward identities in the ladder approximation.

Язык оригиналаАнглийский
Номер статьи115109
Страницы (с-по)115109-1-115109-5
ЖурналPhysical Review B - Condensed Matter and Materials Physics
Том70
Номер выпуска11
DOI
СостояниеОпубликовано - сент. 2004
Опубликовано для внешнего пользованияДа

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