MODEL IN THE BLT-QUANTIZATION SCHEME

1. In [1], we established the physical unitarity condition for an arbitrary (in the absence of anomalies) gauge theory in the BLT-quantization formalism [2], based on study of representations of the algebra of generators of extended BRST-symmetry and the ghost number operator. In that paper we showed that the space of asymptotic states may be described using seven types of complexes of states, which we called true BRST-anti-BRST singlets, paired BRST-anti-BRST singlets, BRST quartets, anti-BRST quartets, BRST-anti-BRST quartets, BRST-anti-BRST sextets, and BRST-anti-BRST octets. Within the requirement that the true BRST-anti-BRST singlets of the theory coincide with physical states, we formulated the physical unitarity condition. Specifically, for unitarity of a gauge theory within the BLT quantization scheme, we require the absence of one-particle states of paired BRST-anti-BRST singlets, BRST quartets, anti-BRST quartets, and BRST- anti-BRST