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Critical Coupling in (1+1)-Dimensional Light-Front ϕ4 Theory. II -effects of non-diagonal interactionof non-diagonal interactions-

2001/03/01 by Kazuto Oshima, Oshima, Kazuto
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0103002

21pages, LaTex; typos,some changes about References

arxiv created 2001/03/04 · arxiv updated 2009/11/30

Abstract

Spontaneous symmetry breaking in (1+1)-dimensional ϕ4 theory is studied with discretized light-front quantization. Taking effects of non-diagonal interactions into account, the first few terms of the commutation relations [a0,an] are recalculated in the ℏ expansion. Our result of the critical coupling is still consistent with the equal-time result 22μ2/ℏ ≤ λ_\rmcr ≤ 55.5μ2/ℏ. We also have examined effects of regarding the ratio of the bare coupling constant to a renormalized mass as an independent parameter in the ℏ expansion.

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