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We study the lowest-mass eigenstates of $\phi^4_{1+1}$ theory with both oddand even numbers of constituents. The calculation is carried out as adiagonalization of the light-front Hamiltonian in a Fock-space representation.In each Fock sector a fully symmetric polynomial basis is used to represent theFock wave function. Convergence is investigated with respect to the number ofbasis polynomials in each sector and with respect to the number of sectors. Thedependence of the spectrum on the coupling strength is used to estimate thecritical coupling for the positive-mass-squared case. An apparent discrepancywith equal-time calculations of the critical coupling is resolved by anappropriate mass renormalization.

Two-dimensional light-front $\phi^4$ theory in a symmetric polynomial basis