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Title: | Ward identities for the Anderson impurity model: derivation via functional methods and the exact renormalization group |
Authors: | Ferraz Filho, Álvaro Kopietz, Peter Bartosch, Lorenz Costa, Lúcio Isidori, Aldo |
Keywords: | Ward identities;Anderson impurity model;Derivation via functional methods;Renormalization |
Issue Date: | 27-Aug-2010 |
Publisher: | IOP Publishing |
Citation: | KOPIETZ, Peter; BARTOSCH, Lorenz; COSTA, Lucio; ISIDORI, Aldo; FERRAZ FILHO, Alvaro. Ward identities for the Anderson impurity model: derivation via functional methods and the exact renormalization group: derivation via functional methods and the exact renormalization group. Journal Of Physics A: Mathematical and Theoretical, [s. l.], v. 43, n. 38, p. 385004-385015, 27 ago. 2010. ISSN 1751-8121 versão online. DOI http://dx.doi.org/10.1088/1751-8113/43/38/385004. Disponível em: https://iopscience.iop.org/article/10.1088/1751-8113/43/38/385004. Acesso em: 25 maio 2020. |
Portuguese Abstract: | Using functional methods and the exact renormalization group we derive Ward identities for the Anderson impurity model. In particular, we present a nonperturbative proof of the Yamada–Yosida identities relating certain coefficients in the low-energy expansion of the self-energy to the thermodynamic particle number and spin susceptibilities of the impurity. Our proof underlines the relation of the Yamada–Yosida identities to the U(1) × U(1) symmetry associated with the particle number and spin conservation in a magnetic field. PACS numbers: 72.15.Qm, 71.27.+q, 71.10.Pm |
URI: | https://repositorio.ufrn.br/jspui/handle/123456789/29061 |
ISSN: | 1751-8113 (print), 1751-8121 (online) |
Appears in Collections: | CCET - DFTE - Artigos publicados em periódicos |
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