Abstract
A general gauge theory contains a set of first class constraints G a ( x) ≈ 0 which in the quantization procedure may be used to project out physical states G ̂ a(x)| phys> = 0 . This is contrast treatment where one only needs a single conserved global supercharge Q ̂ ( Q ̂ 2 = 0) for the same purpose: ( a) Q ̂ |; phys > = 0 . In Yang-Mills theories Q ̂ generates BRS-transformations and (a) yield all Slavnov identies. We give a simple algebraic proof of the equivalence of the two formulations for Yang-Mills theories as well as more general covariant-type theories as formulated by Fradkin and Vilkovisky.
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