The phase of the scattering operator from the geometry of certain infinite-dimensional groups
Mathematical Physics
2015-06-19 v1 Differential Geometry
math.MP
Abstract
We revisit the computation of the phase of the Dirac fermion scattering operator in external gauge fields. The computation is through a parallel transport along the path of time evolution operators. The novelty of the present paper compared with the earlier geometric approach by Langmann and Mickelsson, [LM], is that we can avoid the somewhat arbitrary choice in the regularization of the time evolution for intermediate times using a natural choice of the connection form on the space of appropriate unitary operators.
Keywords
Cite
@article{arxiv.1403.4340,
title = {The phase of the scattering operator from the geometry of certain infinite-dimensional groups},
author = {Jouko Mickelsson},
journal= {arXiv preprint arXiv:1403.4340},
year = {2015}
}
Comments
9 pages, no figures