弯曲时空中Dirac费米子与非线性薛定谔模型中光孤子的对偶性：$1+1$维玻色化的魔力
Duality Between Dirac Fermions in Curved Spacetime and Optical solitons in Non-Linear Schrodinger Model: Magic of $1+1$-Dimensional Bosonization
摘要：
弯曲时空中的玻色化将大质量Thirring模型（自相互作用Dirac费米子）映射到广义sine-Gordon模型，两者都生活在$1+1$维弯曲时空中。应用这一对偶性，我们证明了在非相对论极限下，Thirring模型的费米子与非线性Kerr形式的非线性Scrodinger模型的孤子是一致的。我们讨论了后一种模型中的一种特殊的光孤子，并将其与Thirring模型中的费米子联系起来。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
