Crucial Dependence of 'Precarious' and 'Autonomous' phi^4s Upon the Normal-ordering Mass

Using the Gaussian wave-functional approach with the normal-ordering renormalization prescription, we show that for the (3+1)-dimensional massive lambda phi^4 theory, ``precarious'' and ``autonomous'' phi^4s can exist if and only if the normal-ordering mass is equal to the classical masses at the symmetrc and asymmetric vacua, respectively.
Comment: 6 pages, no figures, Revtex file, accepted for publication in Mod. Phys. Lett. A