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

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

1998-05-11

arxiv.org/abs/hep-th/9805049v1

Prog.Theor.Phys. 101 (1999) 459-465

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1143/PTP.101.459

The spontaneous symmetry breaking in (1+1)-dimensional $\phi^{4}$ 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 $28.8\mu ^{2}/\hbar \le \lambda_{cr} \le 31.1\mu ^{2}/\hbar$ consistent with the equal-time one $22\mu ^{2}/\hbar \le \lambda_{cr} \le 55.5\mu ^{2}/\hbar$. The same analysis is also made under another operator ordering.

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