BRST QUANTIZATION OF VECTOR AND AXIAL-VECTOR GAUGE-THEORY

The vector and axial-vector gauge theory is quantized in the geometrical BRST formalism. By applying the so-called horizontality condition, the BRST and anti-BRST transformation rules under the vector and axial-vector gauge transformations are obtained. At the same time, a quantum Lagrangian which is BRST and anti-BRST invariant is obtained. We discuss how the vector-axial-vector gauge theory [U(V)(N) x U(A)(N)] is related to the ''right-'' and ''left''-handed gauge theory [U(R)(N) x U(L)(N)].