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Paper   IPM / P / 13066
School of Physics
  Title:   alpha^star-Cohomology and Classification of Translation-Invariant Non-Commutative Quantum Field Theories
  Author(s):  A.A. Varshovi
  Status:   Published
  Year:  2012
  Supported by:  IPM
Translation-invariant products are studied in the setting of alpha^star-cohomology. It is explicitly shown that all quantum behaviors and especially the scattering matrix of translation-invariant non-commutative quantum field theories are entirely determined by alpha^star-cohomology classes of the star products.

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