The Spherically Symmetric Standard Model with Gravity
Abstract
Spherical reduction of generic four-dimensional theories is revisited. Three different notions of "spherical symmetry" are defined. The following sectors are investigated: Einstein-Cartan theory, spinors, (non-)abelian gauge fields and scalar fields. In each sector a different formalism seems to be most convenient: the Cartan formulation of gravity works best in the purely gravitational sector, the Einstein formulation is convenient for the Yang-Mills sector and for reducing scalar fields, and the Newman-Penrose formalism seems to be the most transparent one in the fermionic sector. Combining them the spherically reduced Standard Model of particle physics together with the usually omitted gravity part can be presented as a two-dimensional (dilaton gravity) theory.
Cite
@article{arxiv.gr-qc/0412098,
title = {The Spherically Symmetric Standard Model with Gravity},
author = {Herbert Balasin and Christian G. Boehmer and Daniel Grumiller},
journal= {arXiv preprint arXiv:gr-qc/0412098},
year = {2010}
}
Comments
58 pages, 2 eps figures