Critical Coupling in (1+1)-Dimensional Light-Front $ϕ^{4}$ Theory. II -effects of non-diagonal interactionof non-diagonal interactions-

Abstract

Spontaneous symmetry breaking in (1+1)-dimensional $ϕ^{4}$ theory is studied with discretized light-front quantization. Taking effects of non-diagonal interactions into account, the first few terms of the commutation relations $[a_{0},a_{n}]$ are recalculated in the $\hbar$ expansion. Our result of the critical coupling is still consistent with the equal-time result $22μ^{2}/\hbar \le λ_{\rm{cr}} \le 55.5μ^{2}/\hbar$. We also have examined effects of regarding the ratio of the bare coupling constant to a renormalized mass as an independent parameter in the $\hbar$ expansion.