Ward identities for the Anderson impurity model: derivation via functional methods and the exact renormalization group

Details Ward identities for the Anderson impurity model: derivation via functional methods and the exact renormalization group Ward identities for the Anderson impurity model: derivation via functional methods and the exact renormalization group

2010-03-09

arxiv.org/abs/1003.1867v2

J. Phys. A: Math. Theor. 43, 385004 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, corrected statements about infintite flatband limit

Scientific paper

10.1088/1751-8113/43/38/385004

Using functional methods and the exact renormalization group we derive Ward identities for the Anderson impurity model. In particular, we present a non-perturbative proof of the Yamada-Yosida identities relating certain coefficients in the low-energy expansion of the self-energy to thermodynamic particle number and spin susceptibilities of the impurity. Our proof underlines the relation of the Yamada-Yosida identities to the U(1) x U(1) symmetry associated with particle number and spin conservation in a magnetic field.

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