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Non-commutative Field Theory, Translational Invariant Products and Ultraviolet/Infrared Mixing

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.

preprint2010arXivOpen access
Salvatore Galluccio
hep-th
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Salvatore Galluccio

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