Regularity of Interacting Nonspherical Fermi Surfaces : The Exact Self { Energy

  • Joel Feldmana, Manfred Salmhoferb, Eugene Trubowitzb
  • Published 2007

Abstract

Regularity of Interacting Nonspherical Fermi Surfaces: The Exact Self{Energy Joel Feldmana;1, Manfred Salmhoferb;2, and Eugene Trubowitzb;3 aMathematics Department, The University of British Columbia, Vancouver, Canada V6T 1Z2 bMathematik, ETH Z urich, CH{8092 Z urich, Switzerland Abstract Regularity of the deformation of the Fermi surface under short-range interactions is established to all orders in perturbation theory. The proofs are based on a new classi cation of all graphs that are not doubly overlapping. They turn out to be generalized RPA graphs. This provides a simple extension to all orders of the regularity theorem of the Fermi surface movement proven in [FST2]. Models in which S is not symmetric under the re ection p! p are included.

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Cite this paper

@inproceedings{Feldmana2007RegularityOI, title={Regularity of Interacting Nonspherical Fermi Surfaces : The Exact Self \{ Energy}, author={Joel Feldmana and Manfred Salmhoferb and Eugene Trubowitzb}, year={2007} }