New Ward-Takahashi identities in statistical mechanics of many-fermion systems

SL(4, C) symmetry of the Hubbard interaction Hamiltonian is established. It is shown that most of the symmetry generators cannot be realized as operators in the canonical formalism due to the Fermi statistics of electrons. A functional integer derivation of nontrivial Ward-Takahashi identities for a...

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Bibliographic Details
Published inPhysics letters. A Vol. 151; no. 8; pp. 381 - 384
Main Author Tokar, V.I.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 24.12.1990
Elsevier Science
Subjects
Exact sciences and technology
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Hubbard model
Fermion system
Statistical mechanics
Hamiltonian
Symmetry
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Summary:SL(4, C) symmetry of the Hubbard interaction Hamiltonian is established. It is shown that most of the symmetry generators cannot be realized as operators in the canonical formalism due to the Fermi statistics of electrons. A functional integer derivation of nontrivial Ward-Takahashi identities for all generators of the SL(4, C) group is presented.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(90)90907-6