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In two dimensions the Fourier transform of the interaction between two pointdipoles has a term which grows linearly in the modulus $| \mathbf{\textit{q}}|$ of the momentum . As a consequence, in second order perturbation theory theself-energy of two-dimensional dipolar fermions is ultraviolet divergent. Weshow that for electric dipoles this divergence can be avoided if one takes intoaccount that physical dipoles consist of two opposite charges which areseparated by a finite distance. Using this regularization, we calculate theself-energy, the renormalized chemical potential, and the renormalized Fermisurface of dipolar fermions in two dimensions in second order perturbationtheory. We find that in the Fermi liquid phase the second order correctionsweaken first order effects.

Physical dipoles and second order perturbation theory for dipolar fermions in two dimensions