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Regularity of interacting nonspherical Fermi surfaces: The full self‐energy
Author(s) -
Feldman Joel,
Salmhofer Manfred,
Trubowitz Eugene
Publication year - 1999
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/(sici)1097-0312(199903)52:3<273::aid-cpa1>3.0.co;2-1
Subject(s) - mathematical proof , mathematics , fermi gamma ray space telescope , fermi surface , perturbation (astronomy) , extension (predicate logic) , perturbation theory (quantum mechanics) , simple (philosophy) , surface (topology) , mathematical physics , pure mathematics , quantum mechanics , physics , geometry , superconductivity , computer science , programming language , philosophy , epistemology
Regularity of the deformation of the Fermi surface under short‐rangeinteractions is established to all orders in perturbation theory.The proofs are based on a new classification of all graphs that are not doubly overlapping. They turn out to be generalized RPA graphs. This fact provides a simple extension to all orders of the regularity theorem of the Fermi surface movement proven in [2]. Models in which S is not symmetric under the reflection p → −;p are included.© 1999 John Wiley & Sons, Inc.