Thursday, October 4, 2012

1210.1004 (Amir Abbass Varshovi)

Groenewold-Moyal Product, α^\star-Cohomology, and Classification of
Translation-Invariant Non-Commutative Structures
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Amir Abbass Varshovi
\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 translation-invariant non-commutative quantum field theory is physically equivalent to a Groenewold-Moyal non-commutative quantum field theory.
View original: http://arxiv.org/abs/1210.1004

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