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On the Density-Density Critical Indices¶in Interacting Fermi Systems

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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 , if is the Fermi momentum. The result is obtained by implementing Ward identities in a Renormalization Group approach.

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Received: 12 November 2001 / Accepted: 25 February 2002¶Published online: 2 October 2002

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Benfatto, G., Mastropietro, V. On the Density-Density Critical Indices¶in Interacting Fermi Systems. Commun. Math. Phys. 231, 97–134 (2002). https://doi.org/10.1007/s00220-002-0671-x

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  • DOI: https://doi.org/10.1007/s00220-002-0671-x

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