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Non-Fermi Liquid Behavior in 3+1 Dimensions with PT Invariant Gauge Field: An Renormalization Group Approach

1994/11/29 by Yan Gu, Gu Yan, Yan, Gu
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9411124

8 pages,Plain Tex, 1 figure available upon request

arxiv created 1994/11/29 · openalex publication_date 1994/11/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We introduce a Hamiltonian coupled between a normal Fermi surface and a polarized Maxwell type gauge field.We adopt a \it calibrated scaling approach in order to be consistent with the results obtained at 2+1 dimensions as well as the Weinberg's theo rem. Renormalization group equations are calculated by using a dimension regulator. It turns out that the gauge interaction is controlled by a non-trivial fixed point. The two-point Green's function can thus be calculated accurately in the low temperature limit and possesses a non-quasi particle pole which signals the break down of the Landau Fermi liquid theory. In addition,we show that the anomalous dimension of fermion field is in general gauge dependent. But it will survive under generic gauge choice due to the renormalization of the gauge fixing parameter.

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