Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry

Details Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry

2011-01-17

arxiv.org/abs/1101.3147v1

Physics

High Energy Physics

High Energy Physics - Theory

83 pages

Scientific paper

A matrix modeling formulation for translation-invariant noncommutative gauge theories is given in the setting of differential graded algebras and quantum groups. Translation-invariant products are discussed in the setting of {\alpha}-cohomology and it is shown that loop calculations are entirely determined by {\alpha}-cohomology class of star product in all orders. Noncommutative version of geometric quantization and (anti-) BRST transformations is worked out which leads to a noncommutative description of consistent anomalies and Schwinger terms.

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