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Author Carmelo, J. M. P. ♦ Prosen, T. ♦ Campbell, D. K.
Sponsorship (US)
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Publisher The American Physical Society
Language English
Subject Keyword PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ♦ CONSERVATION LAWS ♦ CORRELATION FUNCTIONS ♦ HILBERT SPACE ♦ HUBBARD MODEL ♦ INSTANTONS ♦ SPIN ♦ THERMODYNAMICS
Abstract We examine the nature, number, and interrelation of conservation laws in the one-dimensional Hubbard model. In previous work by Shastry [Phys. Rev. Lett. 56, 1529 (1986); 56, 2334 (1986); 56, 2453 (1986); J. Stat. Phys. 50, 57 (1988)], who studied the model on a large but finite number of lattice sites (N{sub a}), only N{sub a}+1 conservation laws, corresponding to N{sub a}+1 operators that commute with themselves and the Hamiltonian, were explicitly identified, rather than the {approx}2N{sub a} conservation laws expected from the solvability and integrability of the model. Using a pseudoparticle approach related to the thermodynamic Bethe ansatz, we discover an additional N{sub a}+1 independent conservation laws corresponding to nonlocal, mututally commuting operators, which we call transfer-matrix currents. Further, for the model defined in the whole Hilbert space, we find there are two other independent commuting operators (the squares of the {eta}-spin and spin operators) so that the total number of local plus nonlocal commuting conservation laws for the one-dimensional Hubbard model is 2N{sub a}+4. Finally, we introduce an alternative set of 2N{sub a}+4 conservation laws which assume particularly simple forms in terms of the pseudoparticle and Yang-particle operators. This set of mutually commuting operators lends itself more readily to calculations of physically relevant correlation functions at finite energy or frequency than the previous set.
ISSN 01631829
Educational Use Research
Learning Resource Type Article
Publisher Date 2001-05-15
Publisher Place United States
Journal Physical Review B
Volume Number 63
Issue Number 20


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