Bosonized Quantum Hamiltonian of the Two-Dimensional Derivative-Coupling Model

Details Bosonized Quantum Hamiltonian of the Two-Dimensional Derivative-Coupling Model Bosonized Quantum Hamiltonian of the Two-Dimensional Derivative-Coupling Model

2008-01-11

arxiv.org/abs/0801.1746v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

Using the operator formulation we discuss the bosonization of the two-dimensional derivative-coupling model. The fully bosonized quantum Hamiltonian is obtained by computing the composite operators as the leading terms in the Wilson short distance expansion for the operator products at the same point. In addition, the quantum Hamiltonian contains topological terms which give trivial contributions to the equations of motion. Taking into account the quantum corrections to the bosonic equations of motion and to the scale dimension of the Fermi field operator, the operator solution is obtained in terms of a generalized Mandelstam soliton operator with continuous Lorentz spin (generalized statistics).

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