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The Fock-space Hamiltonian truncation method is developed further, payingparticular attention to the treatment of the scalar field zero mode. This isapplied to the two-dimensional Phi^4 theory in the phase where the Z_2-symmetryis spontaneously broken, complementing our earlier study of the Z_2-invariantphase and of the critical point. We also check numerically the weak/strongduality of this theory discussed long ago by Chang.

Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions II. The Z_2-Broken Phase and the Chang Duality