%0 Journal Article
%T Groenewold-Moyal Product, ¦Á^\star-Cohomology, and Classification of Translation-Invariant Non-Commutative Structures
%A Amir Abbass Varshovi
%J Physics
%D 2012
%I arXiv
%X The theory of alpha_star-cohomology is studied thoroughly and it is shown that in each cohomology class there exists a unique 2-cocycle, the harmonic form, which generates a particular Groenewold-Moyal star product. This leads to an algebraic classification of translation-invariant non-commutative structures and shows that any general translationinvariant non-commutative quantum field theory is physically equivalent to a Groenewold- Moyal non-commutative quantum field theory.
%U http://arxiv.org/abs/1210.1004v2