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arXiv · 1601.03109

Aspects of perturbative quantum field theory on non-commutative spaces

Daniel N. Blaschke
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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.

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Daniel N. Blaschke. 2016-01-13. Aspects of perturbative quantum field theory on non-commutative spaces. https://doi.org/10.22323/1.263.0104

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