Abstract
Unlike the standard quantum field theory (QFT) in this review paper the positivity condition is alternatively overlooked. Consequently indefinite metric quantization and the presence of negative norm states as the auxiliary unphysical states has been included. The elimination of the negative norm states in the standard QFT, results in the appearance of the following anomalies: (1) infrared and ultraviolet divergence and (2) breaking of the de Sitter covariance for the minimally coupled scalar field and the breaking of the de Sitter covariance for linear quantum gravity. Inclusion of negative norm states automatically removes the divergence and symmetry breaking. Consequently the QFT is automatically renormalized and the covariance of the QFT in de Sitter space is conserved. The compatibility of this method with the results of some existing calculation is discussed in the last section.
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