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arXiv · 1605.08449

Large N Thirring Matter in Three Dimensions

M. Goykhman
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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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M. Goykhman. 2016-05-26. Large N Thirring Matter in Three Dimensions. https://doi.org/10.1007/jhep07(2016)034

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