Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-12-10
Physics
Condensed Matter
Strongly Correlated Electrons
19 pages. To appear in Int. J. of Theor. Phys
Scientific paper
In this paper, the possibility to construct a path integral formalism by using the Hubbard operators as field dynamical variables is investigated. By means of arguments coming from the Faddeev-Jackiw symplectic Lagrangian formalism as well as from the Hamiltonian Dirac method, it can be shown that it is not possible to define a classical dynamics consistent with the full algebra of the Hubbard $X$-operators. Moreover, from the Faddeev-Jackiw symplectic algorithm, and in order to satisfy the Hubbard $X$-operators commutation rules, it is possible to determine the number of constraint that must be included in a classical dynamical model. Following this approach it remains clear how the constraint conditions that must be introduced in the classical Lagrangian formulation, are weaker than the constraint conditions imposed by the full Hubbard operators algebra. The consequence of this fact is analyzed in the context of the path integral formalism. Finally, in the framework of the perturbative theory, the diagrammatic and the Feynman rules of the model are discussed.
Foussats Adriana
Greco Andrés
Zandron O. S.
No associations
LandOfFree
Dynamical Model and Path Integral Formalism for Hubbard Operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamical Model and Path Integral Formalism for Hubbard Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical Model and Path Integral Formalism for Hubbard Operators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-157982