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Notes on the Quantization of the Complex Linear Superfield

P. A. Grassi·G. Policastro·M. Porrati
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Abstract

The quantization of the complex linear superfield requires an infinite tower of ghosts. Using the Batalin-Vilkovisky technique, Grisaru, Van Proeyen, and Zanon have been able to define a correct procedure to construct a gauge-fixed action. We generalize their technique by introducing the Lagrange multipliers into the non-minimal sector and we study the characteristic BRST cohomology. We show how the physical subspace is singled out. Finally, we quantize the model in the presence of a background and of a quantum gauge superfield.

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P. A. Grassi, G. Policastro, M. Porrati. 2000-11-14. Notes on the Quantization of the Complex Linear Superfield. https://doi.org/10.1016/s0550-3213(00)00745-8

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