Duality between Dirac fermions in curved spacetime and optical solitons in non-linear Schrodinger model: magic of 1 + 1 -dimensional bosonization

Authors

Subir Ghosh, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

European Physical Journal C

Abstract

Bosonization in curved spacetime maps massive Thirring model (self-interacting Dirac fermions) to a generalized Sine–Gordon model, both living in 1 + 1 -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.

DOI

10.1140/epjc/s10052-019-7502-0

Publication Date

12-1-2019

Comments

Open Access, Gold, Green

Recommended Citation

Ghosh, Subir, "Duality between Dirac fermions in curved spacetime and optical solitons in non-linear Schrodinger model: magic of 1 + 1 -dimensional bosonization" (2019). Journal Articles. 583.
https://digitalcommons.isical.ac.in/journal-articles/583