Obtenção covariante do operador de paneitz e sua importância no estudo da Anomalia Conforme

Abstract

Some aspects of Quantum Field Theory in curved space-time are explored and revised. In the original part of the work, we study the Hermitian operator of fourth order, known as Paneitz operator. We obtaining it via conformal parametrization as previously known and also by an alternative route via the covariant formulation. Paneitz operator is useful for deriving covariant form of effective action induced by conformal anomaly, as for as we want to keep the covariance of the theory, we need the covariant form of the operator.