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

被引：10

作者：

Kopietz, Peter ^{[1
]}

Bartosch, Lorenz ^{[1
]}

Costa, Lucio ^{[1
,2
]}

Isidori, Aldo ^{[1
]}

Ferraz, Alvaro ^{[3
]}

机构：

[1] Goethe Univ Frankfurt, Inst Theoret Phys, D-60438 Frankfurt, Germany

[2] Univ Fed ABC, Ctr Ciencias Nat & Humanas, BR-09210170 Santo Andre, Brazil

[3] Univ Fed Rio Grande do Norte, Int Inst Phys, BR-59012970 Natal, RN, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 38期

关键词：

D O I：

10.1088/1751-8113/43/38/385004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 the 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 the particle number and spin conservation in a magnetic field.

引用

页数：12

共 14 条

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