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BRST Cohomology and Hilbert Spaces of Non-Abelian Models in the Decoupled Path Integral Formulation

✍ Scribed by K.D. Rothe; F.G. Scholtz; A.N. Theron


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
389 KB
Volume
255
Category
Article
ISSN
0003-4916

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✦ Synopsis


The existence of several nilpotent Noether charges in the decoupled formulation of twodimensional gauge theories does not imply that all of these are required to annihilate the physical states. We elucidate this matter in the context of simple quantum mechanical and field theoretical models, where the structure of the Hilbert space is known. We provide a systematic procedure for deciding which of the BRST conditions is to be imposed on the physical states in order to ensure the equivalence of the decoupled formulation to the original, coupled one.