FM 21-08; mp_arc 08-157

Authors : Giuseppe Benfatto

Title: On the ultraviolet problem for the 2D weakly interacting Fermi gas

Abstract: We prove that the effective potential of the two-dimensional interacting 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.

Keywords: Fermi gas, Ultraviolet stability, Renormalization group.

Giuseppe Benfatto
Dipartimento di Matematica,
Universita' di Roma "Tor Vergata",
Via della Ricerca Scientifica 1, 00133 Roma, Italy
benfatto@mat.uniroma2.it