Generally covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere

Abstract For a particle that is constrained on an ($$N-1$$ N-1 )-dimensional ($$N\ge 2$$ N≥2 ) curved surface $$\Sigma ^{N-1}$$ ΣN-1 , the Cartesian components of its momentum in N-dimensional flat space are believed to offer a proper form of momentum for the particle on the surface, which is called...

Full description

Bibliographic Details
Main Authors: Q. H. Liu, Z. Li, X. Y. Zhou, Z. Q. Yang, W. K. Du
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7231-4