Non-commutative Field Theory, Translational Invariant Products and Ultraviolet/Infrared Mixing
High Energy Physics - Theory
2010-04-28 v1
Abstract
We review the Moyal and Wick-Voros products, and more in general the translation invariant non-commutative products, and apply them to classical and quantum field theory. We investigate phi^4 field theories calculating their Green's functions up to one-loop for the two- and four-point cases. We also review the connections of these theories with Drinfeld twists.
Keywords
Cite
@article{arxiv.1004.4655,
title = {Non-commutative Field Theory, Translational Invariant Products and Ultraviolet/Infrared Mixing},
author = {Salvatore Galluccio},
journal= {arXiv preprint arXiv:1004.4655},
year = {2010}
}
Comments
This work was performed for the fulfilment of the requirements for the degree of Doctor of Philosophy at the Universit\`{a} di Napoli Federico II.