On bosonisation in (1+1) dimensions

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Abstract
Presents the quantum field theory of the free scalar massless field and derives on this basis the operator solution to the Thirring model. The Lorentz and scale transformation formulae for the scalar and Thirring fields are found explicitly. It is shown that one can attribute definite spin and scale dimension to the Thirring field psi (x) only if one interprets psi (x) as an intertwining operator between inequivalent charged sectors. Particular attention is paid to the way the two charge operators are contained in the theory of the massless scalar field.