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• W2064230874 abstract "I 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^3) at one-loop order, and with the accuracy O(V^4) at two-loop order (V is the effective interaction vertex at scale Lambda). The one-particle self-consistent version of the two-loop RG equations which leads to smaller errors in Ward identities due to the absence of the terms with non-overlapping loops, is proposed. In particular, these modified equations exactly satisfy Ward identities in the ladder approximation." @default.
• W2064230874 created "2016-06-24" @default.
• W2064230874 creator A5004802223 @default.
• W2064230874 date "2004-09-23" @default.
• W2064230874 modified "2023-10-01" @default.
• W2064230874 title "Fulfillment of Ward identities in the functional renormalization group approach" @default.
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• W2064230874 doi "https://doi.org/10.1103/physrevb.70.115109" @default.
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