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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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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Abstract 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.
AbstractList 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.
Author Tokar, V.I.
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Cites_doi 10.1103/PhysRevLett.28.1334
10.1016/0375-9601(85)90553-5
10.1016/0038-1098(81)91120-0
10.1103/PhysRevB.19.2626
10.1088/0022-3719/21/18/002
10.1103/PhysRevB.38.745
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Keywords Hubbard model
Fermion system
Statistical mechanics
Hamiltonian
Symmetry
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Kadanoff (10.1016/0375-9601(90)90907-6_BIB2) 1962
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Sarker (10.1016/0375-9601(90)90907-6_BIB11) 1988; 21
Vassiliev (10.1016/0375-9601(90)90907-6_BIB6) 1976
Tokar (10.1016/0375-9601(90)90907-6_BIB9) 1985; 110
Affleck (10.1016/0375-9601(90)90907-6_BIB4) 1988; 38
Hubbard (10.1016/0375-9601(90)90907-6_BIB7) 1979; 19
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Snippet 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...
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Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Title New Ward-Takahashi identities in statistical mechanics of many-fermion systems
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