Boson-Fermion Duality from Discontinuous Gauge Symmetry
High Energy Physics - Theory
2017-01-03 v1 Quantum Physics
Abstract
By extending local U(1) gauge symmetry to discontinuous case, we find that under one special discontinuous U(1) gauge transformation the symmetric and antisymmetric wave functions can transform into each other in one dimensional quantum mechanics. The free spinless fermionic system and bosonic system with -type vector gauge potential are proved to be equivalent. The relation also holds in higher space-time dimensions.
Keywords
Cite
@article{arxiv.1701.00461,
title = {Boson-Fermion Duality from Discontinuous Gauge Symmetry},
author = {Ji Xu and Shuai Zhao},
journal= {arXiv preprint arXiv:1701.00461},
year = {2017}
}
Comments
7 pages, 3 figures