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Technical aspects of bosonization¡¢A simple case of Bose-Fermi equivalence: Jordan-Wigner¡¢Transformation¡¢One-dimensional fermion States near the Fermi points¡¢Chiral anomaly¡¢Anomalous commutators¡¢Ganssian model. Lagrangian formulation¡¢Bosonization¡¢Interaction with an electromagnetic field; gauge invariance¡¢Conformal symmetry and finite size effects¡¢Gaussian model in the Hamiltonian formulation¡¢Virasoro algebra¡¢Ward identitiesµÈµÈ¡£
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Preface
Acknowledgements
Part ¢ñ: Technical aspects of bosonization
¡¡A simple case of Bose-Fermi equivalence: Jordan-Wigner transformation
¡¡One-dimensional fermion tates near the Fermi points
¡¡Chiral anomaly
¡¡Anomalous commutators
¡¡Ganssian model. Lagrangian formulation
¡¡Bosonization
¡¡Interaction with an electromagnetic field; gauge invariance
¡¡Conformal symmetry and finite size effects
¡¡Gaussian model in the Hamiltonian formulation
¡¡Virasoro algebra
¡¡Ward identities
¡¡Subalgebra sl(2)
¡¡Structure of Hilhert space in conformal theories
¡¡Differential equations for correlation functions
¡¡Dotsenko¡ª¡ªFateev bosonization scheme for the minimal models
¡¡Current (Kac-Moody) algebras; the first assault
¡¡Sugawara Hamiltonian for Wess-Zumino-Novikov-Witten model
¡¡Knizhnik-Zamolodchikov (KZ) equations
¡¡Relevant and irrelevant fields
¡¡Bose-Einstein Condensation in two dimensions; Beresinskii-
¡¡Kesterlitz-Thouless transition
¡¡The sine-Gordon model
¡¡The renormalization group analysis
¡¡Exact solution of the sine-Gordon model
¡¡Spin S-1/2 Heisenberg-lsing chain
¡¡Explicit expression for the dynamical magnetic susceptibility
¡¡Ising model
¡¡More about the WZNW model
¡¡Special cases
¡¡1.1 SU1(2) WZNW model as a Gaussian model
¡¡1.2 SU2(2) WZNW model and the Ising model
¡¡1.3 SU4(2) as a theory of two bosonic fields
¡¡1.4 SUI0(2) as a theory of three bosonic fields
¡¡Deformation of the WZNW model and coset constructions
¡¡Non-Abelian bosznization
¡¡WZNW model in the Lagrangian formulation
¡¡Derivation of the Lagrangian
¡¡Calculation of a nontrivial determinant
Part ¢ò: Application of the bosonization technique to physical
Part ¢ó Singleimpurityproblems

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