Spin 1/2 and Invariant Coefficients
摘要
Massive spin 1/2 particles require 2-spinors for rotations, 4-spinors for rotations and boosts with parity. Including translations requires 8-spinors. Adapting 4-spinor field theory to 8-spinor fields with translation symmetry is discussed here. It is shown that four of these spin components act like conventional 4-spinors, satisfying the conventional free-particle Dirac equation. The remaining four components have unconventional coordinate dependence due to translation symmetry. One finds that the 4-vector current of the 8-spinor is proportional to the electromagnetic 4-vector potential of the conventional 4-spinor, with arbitrary charge. Thus translation symmetry in field theory unites a conventional 4-spinor field and its electromagnetic vector potential.
引用
@article{arxiv.hep-th/0406249,
title = {Spin 1/2 and Invariant Coefficients},
author = {Richard Shurtleff},
journal= {arXiv preprint arXiv:hep-th/0406249},
year = {2015}
}
备注
13 pages, no figures. This version introduces a new 8-spinor notation to display the work in a more organized manner than in previous versions