Regular Article - Theoretical Physics
Duality between Dirac fermions in curved spacetime and optical solitons in non-linear Schrodinger model: magic of -dimensional bosonization
Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700108, India
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Accepted: 19 November 2019
Published online: 28 November 2019
Bosonization in curved spacetime maps massive Thirring model (self-interacting Dirac fermions) to a generalized Sine–Gordon model, both living in -dimensional curved spacetime. Applying this duality we have shown that the Thirring model fermion, in non-relativistic limit, gets identified with the soliton of non-linear Scrodinger model with Kerr form of non-linearity. We discuss one particular optical soliton in the latter model and relate it with the Thirring model fermion.
© The Author(s), 2019