Abstract
In this paper we calculate properties of the three-dimensional system of N species of fermions at zero temperature and finite chemical potential, with the four-fermionic interaction of the Thirring type. We observe that this model fits consistently into framework of the Landau Fermi liquid theory, and possesses a non-trivial zeroth and first Landau parameters. Our result is derived to all orders of the Thirring coupling constant and to the leading order of the large-N expansion. In particular we solve for the exact current-current correlation function, and show that it exhibits a singular behavior at zero frequency and twice of the Fermi momentum.
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Goykhman, M. Large N thirring matter in three dimensions. J. High Energ. Phys. 2016, 34 (2016). https://doi.org/10.1007/JHEP07(2016)034
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DOI: https://doi.org/10.1007/JHEP07(2016)034