Jean-Christophe Wallet (Orsay):
Recent results in gauge theories on noncommutative Moyal spaces
Abstract:
A recent construction of candidates for
renormalisable gauge theories on noncommutative Moyal spaces is reviewed. In these
theories, the expected noncommutative action for the pure Yang-Mills part is found to
be supplemented with additional terms that may be interpreted as the gauge theory version
of the so called harmonic term of the renormalisable noncommutative φ4-theory.
The presence of these new terms implies for the corresponding actions the occurence
of non trivial vacuum configurations. Their determination together with some related
problems are discussed.
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