Classical Group Field Theory
High Energy Physics - Theory
2015-05-28 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
The ordinary formalism for classical field theory is applied to dynamical group field theories. Focusing first on a local group field theory over one copy of SU(2) and, then, on more involved nonlocal theories (colored and non colored) defined over a tensor product of the same group, we address the issue of translation and dilatation symmetries and the corresponding Noether theorem. The energy momentum tensor and dilatation current are derived and their properties identified for each case.
Keywords
Cite
@article{arxiv.1107.3122,
title = {Classical Group Field Theory},
author = {Joseph Ben Geloun},
journal= {arXiv preprint arXiv:1107.3122},
year = {2015}
}