One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model
نویسندگان
چکیده
We compute at the one-loop order the β-functions for a renormalisable noncommutative analog of the Gross Neveu model defined on the Moyal plane. The calculation is performed within the so called x-space formalism. We find that this non-commutative field theory exhibits asymptotic freedom for any number of colors. The β-function for the non-commutative counterpart of the Thirring model is found to be non vanishing. ∗Work supported by ANR grant NT05-3-43374 “GenoPhy”.
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