Quasisecular Clothing Transformation for theφ4Model of Quantum Field Theory

The first-order renormalized Heisenberg field for the ${\phi }^4$ model of quantum field theory, calculated by the quasisecular perturbation method, is used to construct a clothing transformation. The clothing transformation gives the Fourier amplitude of the renormalized field from that of the bare field, except for the quasisecular terms. The properties of the clothing transformation are examined in the cases of one, two, and three space dimensions. The connection with the strange representations of the canonical commutation relations is discussed.