Covariance of noncommutative Grassmann star product

Details Covariance of noncommutative Grassmann star product Covariance of noncommutative Grassmann star product

2004-09-21

arxiv.org/abs/math-ph/0409053v1

Rep. Math. Phys 52 (2003) 281

Physics

Mathematical Physics

Scientific paper

Using the Coherent states of many fermionic degrees of freedom labeled by Gra\ss mann variables, we introduce the noncommutative (precisely non anticommutative) Gra\ss mann star product. The covariance of star product under unitary transformations, particularly canonical ones, is studied. The super star product, based on supercoherent states of supersymmetric harmonic oscillator, is also considered.

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