Notes on the Quantization of the Complex Linear Superfield

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages. A reference added

Scientific paper

10.1016/S0550-3213(00)00745-8

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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