The standard Berezin method for integration over odd variables is combined in a new way with De Witt’s contour method for integration over even Grassmann variables to give a new method of superspace integration. It is shown that this integral, unlike the standard superspace integral, is invariant under coordinate transformations in superspace. The relation between the new method and the standard method is discussed.
REFERENCES
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F. A. Berezin, The Method of Second Quantisation (Academic, New York, 1966).
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B. S. De Witt, Supermanifolds (Cambridge U.P., Cambridge, 1984).
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T. Regge, “Relativity, Groups and Topology,” lectures given at the 1983 Les Houches Summer School.
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J. Hassoun, A. Restuccia, and J. G. Taylor, “Superfield Actions for degenerate central charges,” King’s College London Preprint, June 1983.
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B. Kostant, “Graded Manifolds, Graded Lie Theory and Prequantisation,” in Lecture Notes in Mathematics, Vol. 570 (Springer, Berlin, 1977).
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J. Dieudonné, Foundations of Modern Analysis (Academic, New York, 1969).
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Superfield quantization techniques are described in S. J. Gates, M. T. Grisaru, M. Rocek, and W. Siegel, Superspace or One Thousand and One Lessons in Supersymmetry (Benjamin, New York, 1983).
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© 1985 American Institute of Physics.
1985
American Institute of Physics
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