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The Hamiltonian BRST quantization of a noncommutative nonabelian gauge theory and its Seiberg-Witten map

Ricardo Amorim·Franz A. Farias
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Abstract

We consider the Hamiltonian BRST quantization of a noncommutative non abelian gauge theory. The Seiberg-Witten map of all phase-space variables, including multipliers, ghosts and their momenta, is given in first order in the noncommutative parameter $θ$. We show that there exists a complete consistence between the gauge structures of the original and of the mapped theories, derived in a canonical way, once we appropriately choose the map solutions.

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Ricardo Amorim, Franz A. Farias. 2003-06-26. The Hamiltonian BRST quantization of a noncommutative nonabelian gauge theory and its Seiberg-Witten map. https://doi.org/10.1103/physrevd.69.045013

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