Chiral Bosonization and Local Lorentz-Invariant Actions for Chiral Bosons

Abstract
We formulate a geometrical theory of self-dual scalar fields in two dimensions with a local Lorentzinvariant action. Path-integral quantization is used to derive chiral bosonization by demonstrating equivalence of correlation functions of currents and energy-momentum tensors in our theory with those for Weyl fermions.

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