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

2010/04/26 by Salvatore Galluccio, Galluccio, Salvatore
Earth and Planetary Sciences · Physics and Astronomy · #Atmospheric Ozone and Climate #Radiation Detection and Scintillator Technologies #Dark Matter and Cosmic Phenomena

paper · pdf · doi:10.48550/arxiv.1004.4655

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 phi⁴ 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.

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