English

Critical coupling in (1+1)-dimensional light-front $\phi^{4}$ theory

High Energy Physics - Theory 2009-10-31 v1

Abstract

The spontaneous symmetry breaking in (1+1)-dimensional ϕ4\phi^{4} theory is studied with discretized light-front quantization, that is, by solving the zero-mode constraint equation. The symmetric ordering is assumed for the operator-valued constraint equation. The commutation relation between the zero mode and each oscillator mode is calculated with \hbar expansion. A critical coupling evaluated from the first some terms in the expansion is 28.8μ2/λcr31.1μ2/28.8\mu ^{2}/\hbar \le \lambda_{cr} \le 31.1\mu ^{2}/\hbar consistent with the equal-time one 22μ2/λcr55.5μ2/22\mu ^{2}/\hbar \le \lambda_{cr} \le 55.5\mu ^{2}/\hbar. The same analysis is also made under another operator ordering.

Keywords

Cite

@article{arxiv.hep-th/9805049,
  title  = {Critical coupling in (1+1)-dimensional light-front $\phi^{4}$ theory},
  author = {Kazuto Oshima and Masanobu Yahiro},
  journal= {arXiv preprint arXiv:hep-th/9805049},
  year   = {2009}
}
R2 v1 2026-07-22T16:10:22.087Z