Special generalized densities and propagators: a geometric account
Mathematical Physics
2016-01-20 v2 math.MP
Abstract
Starting from a short review of spaces of generalized sections of vector bundles, we give a concise systematic description, in precise geometric terms, of Leray densities, principal value densities, propagators and elementary solutions of field equations in flat spacetime. We then sketch a partly original geometric presentation of free quantum fields and show how propagators arise from their graded commutators in the boson and fermion cases.
Keywords
Cite
@article{arxiv.1504.03538,
title = {Special generalized densities and propagators: a geometric account},
author = {Daniel Canarutto},
journal= {arXiv preprint arXiv:1504.03538},
year = {2016}
}
Comments
3+34 pages; various corrections and additions have been made in this second version