Two-particle renormalizations in many-fermion perturbation theory: Importance of the Ward identity

Details Two-particle renormalizations in many-fermion perturbation theory: Importance of the Ward identity Two-particle renormalizations in many-fermion perturbation theory: Importance of the Ward identity

2002-10-30

arxiv.org/abs/cond-mat/0210679v2

J. Phys.:Condens. Matter 15 (2003) L311

Physics

Condensed Matter

Strongly Correlated Electrons

REVTeX4, 4 pages, 2 EPS figures

Scientific paper

10.1088/0953-8984/15/21/102

We analyze two-particle renormalizations within many-fermion perturbation expansion. We show that present diagrammatic theories suffer from lack of a direct diagrammatic control over the physical two-particle functions. To rectify this we introduce and prove a Ward identity enabling an explicit construction of the self-energy from a given two-particle irreducible vertex. Approximations constructed in this way are causal, obey conservation laws and offer an explicit diagrammatic control of singularities in dynamical two-particle functions.

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