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The variance of the local density of the pair contact process with diffusion(PCPD) is investigated in a bosonic description. At the critical point of theabsorbing phase transition (where the average particle number remains constant)it is shown that for lattice dimension d>2 the variance exhibits a phasetransition: For high enough diffusion constants, it asymptotically approaches afinite value, while for low diffusion constants the variance divergesexponentially in time. This behavior appears also in the density correlationfunction, implying that the correlation time is negative. Yet one has dynamicalscaling with a dynamical exponent calculated to be z=2.Comment: 20 pages, 5 figure

Phase transitions and correlations in the bosonic pair contact process with diffusion: exact results