Non-Trivial Realization of the BRS Supersymmetry
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概要
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It has been previously shown that any BRS invariant n-"ghost" state ∣n> in gauge theory is generated by the BRS charge Q, namely, 'mid;n=Q'mid;n^^~> with a suitable state ∣n^^~> if Q∣n>=0. This fundamental property of the non-trivial realization of the nil-potent algebra is further clarified by deriving the decomposition rule for the BRS supersymmetry, while allows us to reduce a product of non-trivial BRS superfields into a set of irreducible superfields. We thus succeed in a complete classification of state vectors according to their representation content of the BRS supersymmetry. It is also noted that the non-tirvial realization is characterized by a regular matrix from for the nil-potent charge Q in a certain sector on the Fock space. The characteristic properties of the BRS supersymmetry per se, which can be proved without the Lagrangian formalism and which ensure the ghost cancellation mechanism, are thus separated from other dynamical information provided by a specific Lagrangian. This is illustrated for several non-gauge as well as gauge theories.
- 理論物理学刊行会の論文
- 1980-04-25
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