A Two Dimensional Fermi Liquid. Part 2: Convergence

Physics – Mathematical Physics

Scientific paper

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76 pages, 8 figures

Scientific paper

Using results established in other papers in our series, we prove the
existence of the infinite volume, temperature zero, thermodynamic Green's
functions of a two dimensional, weakly coupled fermion gas with an asymmetric
Fermi curve and short range interactions. This is done by showing that our
sequence of renormalization group maps converges.

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