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arXiv:1109.1404

Ward identities for particle-particle and particle-hole pairs

Osamu Narikiyo

Published Sep 7, 2011• 1 citation
arXivHTMLPDF

Abstract

Ward identities for charge-density and spin-density fluctuations are discussed in comparison with those for superconducting fluctuations.
DOI
10.48550/arxiv.1109.1404

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The general interaction between quasiparticles and particle-hole excitations in a neutral Fermi system at T=0T=0T=0 is investigated. Density and spin-density fluctuations and collective modes are treated on an equal basis. Use is made of Ward identities to relate the vertex function $\ensuremath{\Gamma}$ to the quasiparticle self-energy $\ensuremath{\Sigma}$, and logarithmic corrections to the self-energy are obtained. The coefficients of the logarithmic terms are calculated analytically in terms of known Landau parameters.