Two Dimensional Many Fermion Systems as Vector Models
نویسندگان
چکیده
We show that, in two space dimensions, the full many Fermion interaction has the structure of a vector model at every energy scale. The “colors” arise from a decomposition of the Fermi circle into sectors of length set by the energy scale. These sectors play an essential role in summing up the complete perturbation series. The three dimensional vertex is intermediate between vector and matrix models. In any number of dimensions the reduced interaction is a vector model.
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