Aspects of perturbative quantum field theory on non-commutative spaces
Abstract
In this contribution to the proceedings of the Corfu Summer Institute 2015, I give an overview over quantum field theories on non-commutative Moyal space and renormalization. In particular, I review the new features and challenges one faces when constructing various scalar, fermionic and gauge field theories on Moyal space, and especially how the UV/IR mixing problem was solved for certain models. Finally, I outline more recent progress in constructing a renormalizable gauge field model on non-commutative space, and how one might attempt to prove renormalizability of such a model using a generalized renormalization scheme adapted to the non-commutative (and hence non-local) setting.
Keywords
Cite
@article{arxiv.1601.03109,
title = {Aspects of perturbative quantum field theory on non-commutative spaces},
author = {Daniel N. Blaschke},
journal= {arXiv preprint arXiv:1601.03109},
year = {2018}
}
Comments
19 pages, 4 figures; invited talk presented at the "Workshop on Noncommutative Field Theory and Gravity" in Corfu, Greece, 21-27 September 2015, to appear in the proceedings of the Corfu Summer Institute 2015 "School and Workshops on Elementary Particle Physics and Gravity"