Notes on the quantization of the complex linear superfield

P. A. Grassi; G. Policastro; M. Porrati

doi:10.1016/S0550-3213(00)00745-8

Notes on the quantization of the complex linear superfield

P. A. Grassi, G. Policastro, M. Porrati

Research output: Contribution to journal › Article › peer-review

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 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.

Original language	English (US)
Pages (from-to)	615-632
Number of pages	18
Journal	Nuclear Physics B
Volume	597
Issue number	1-3
DOIs	https://doi.org/10.1016/S0550-3213(00)00745-8
State	Published - Mar 12 2001

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(00)00745-8

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AB - 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 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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Notes on the quantization of the complex linear superfield

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