The behaviour of correlation functions of d = 1 interacting fermionic systems is determined by a small number of critical indices. We prove that one of them is exactly zero. As a consequence, the behavior of the Fourier transform of the density-density correlation at zero momentum is qualitatively unaffected by the interaction, contrary to what happens at ±2p̃F, if p̃F is the Fermi momentum. The result is obtained by implementing Ward identities in a Renormalization Group approach.

Benfatto, G., Mastropietro, V. (2002). On the density-density critical indices in interacting Fermi systems. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 231(1), 97-134 [10.1007/s00220-002-0671-x].

On the density-density critical indices in interacting Fermi systems

BENFATTO, GIUSEPPE;MASTROPIETRO, VIERI
2002-01-01

Abstract

The behaviour of correlation functions of d = 1 interacting fermionic systems is determined by a small number of critical indices. We prove that one of them is exactly zero. As a consequence, the behavior of the Fourier transform of the density-density correlation at zero momentum is qualitatively unaffected by the interaction, contrary to what happens at ±2p̃F, if p̃F is the Fermi momentum. The result is obtained by implementing Ward identities in a Renormalization Group approach.
2002
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Benfatto, G., Mastropietro, V. (2002). On the density-density critical indices in interacting Fermi systems. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 231(1), 97-134 [10.1007/s00220-002-0671-x].
Benfatto, G; Mastropietro, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/23731
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