Algebraic bosonization: The Study of the Heisenberg and Calogero-Sutherland models
Mar, 1996
51 pages
Published in:
- Int.J.Mod.Phys.A 12 (1997) 4611-4661
e-Print:
- hep-th/9603112 [hep-th]
Report number:
- DFTT-07-96
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Abstract:
We propose an approach to treat (1+1)--dimensional fermionic systems based on the idea of algebraic bosonization. This amounts to decompose the elementary low-lying excitations around the Fermi surface in terms of basic building blocks which carry a representation of the W_{1+\infty} \times {\overline W_{1+\infty}} algebra, which is the dynamical symmetry of the Fermi quantum incompressible fluid. This symmetry simply expresses the local particle-number current conservation at the Fermi surface. The general approach is illustrated in detail in two examples: the Heisenberg and Calogero-Sutherland models, which allow for a comparison with the exact Bethe Ansatz solution.- statistical mechanics: Calogero-Sutherland model
- fermion
- dimension: 2
- bosonization
- Hamiltonian formalism
- algebra: W(infinity)
- algebra: representation
- Heisenberg model
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