08-157 G. Benfatto

On the ultraviolet problem for the 2D weakly interacting Fermi gas (376K, Postscript file) Sep 8, 08

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Abstract. We prove that the effective potential of the two-dimensional nteracting continuous Fermi gas with infrared cutoff is an analytic function of the coupling strength near the origin. This is the starting point to study the infrared problem of the model without putting any ultraviolet cutoff, as usually done in the literature.

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