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An inversion theorem in Fermi surface theory
Author(s) -
Feldman Joel,
Salmhofer Manfred,
Trubowitz Eugene
Publication year - 2000
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/1097-0312(200011)53:11<1350::aid-cpa2>3.0.co;2-d
Subject(s) - fermion , fermi surface , fermi gamma ray space telescope , inversion (geology) , renormalization , regular polygon , surface (topology) , renormalization group , physics , mathematics , fermi energy , mathematical physics , quantum mechanics , theoretical physics , geometry , superconductivity , paleontology , structural basin , biology , electron
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. © 2000 Wiley & Sons, Inc.