Physics – Mathematical Physics

Scientific paper

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2000-01-20

Physics

Mathematical Physics

35 pages LaTeX, 4 postscript figures

Scientific paper

We prove a perturbative inversion theorem for the map between the interacting and the noninteracting Fermi surface for a class of many fermion systems with strictly convex Fermi surfaces and short-range interactions between the fermions. This theorem gives a physical meaning to the counterterm function K that we use in the renormalization of these models: K can be identified as that part of the self--energy that causes the deformation of the Fermi surface when the interaction is turned on.

**Feldman Jon**

Mathematics – Optimization and Control

Scientist

**Salmhofer Manfred**

Physics – Condensed Matter – Strongly Correlated Electrons

Scientist

**Trubowitz Eugene**

Physics – Mathematical Physics

Scientist

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