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Covariance of the grassmann star product
Authors:M Daoud
Affiliation:a Abdus Salam International Centre of Theoretical Physics, Trieste, Italy
b University Ibn Zohr, LPMC, Department of Physics Agadir, Morocco, Italy
Abstract:
Using the coherent states of many fermionic degrees of freedom labelled by Grassmann variables, we introduce the noncommutative (precisely non-anticommutative) Grassmann star product. The covariance of this star product under unitary transformations, particularly the canonical ones, is studied. The super star product, based on supercoherent states of supersymmetric harmonic oscillator, is also considered.
Keywords:Star product   fermionic coherent states   covariance
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