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Quantized superfields
Author(s) -
Constantinescu Florin,
Gut Markus,
Scharf Günter
Publication year - 2002
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/1521-3889(200205)11:5<335::aid-andp335>3.0.co;2-a
Subject(s) - superfield , physics , supergravity , gravitino , supersymmetry , scalar (mathematics) , multiplet , mathematical physics , hermitian matrix , particle physics , quantum mechanics , mathematics , geometry , spectral line
We construct quantized free superfields and represent them as operator‐valued distributions in Fock space starting with the Majorana field. We then analyse the algebras generated by free component quantum fields together with the Susy generators Q , $ \bar Q $ . This enables us to obtain the quantized chiral superfield by finite Susy transformation from its scalar component. To get hermitian superfields we study by the same method a second scalar field algebra from which various scalar superfields can be obtained by exponentiation. Next we investigate the vector algebra and use it to construct the massive vector superfield. Surprisingly enough, the result is totally different from the vector multiplet in the literature. It contains two hermitian four‐vector components instead of one and a spin‐3/2 field similar to the gravitino in supergravity.