Quantum Theory of Antisymmetric Higher Rank Tensor Gauge Field in Higher Dimensional Space-Time

Abstract

In a higher dimensional space-time, the Lagrangian formalism and the canonical operator formalism of covariant quantization of the antisymmetric tensor gauge field of higher rank are formulated consistently by introducing BRS transformation and Lagrangian multiplier fields From the effective Lagrangian, the numbers of the physical components and the effective ghosts are counted correctly without referring to a special reference frame. The confinement of unphysical components is assured from the viewpoint of the “quartet mechanism” of Kugo and Ojima.