Spontaneous symmetry breaking of (1+1)-dimensional phi4 theory in light-front field theory. III.
Spontaneous symmetry breaking of (1+1)-dimensional phi4 theory in light-front field theory. III.
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光前场理论中(1 1)维phi4理论的自发对称破缺。
DOI：
10.1103/physrevd.51.726
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
Hiller
中科院分区：
文献类型：
--
作者：
Pinsky;van de Sande B;Hiller
我们利用离散的光前量子化方法研究了对称相和破缺相中的(1+1)维[Phi][Sup 4]场论。我们计算了对称相和破缺相的零模约束方程的微扰解，并证明了理论的标准重整化产生了有限的结果。我们研究了微扰零模对两个图的贡献，证明了光波前公式与等时间公式给出了相同的结果。在理论的破碎阶段，我们得到了约束方程的非摄动解，并证实了我们先前关于临界耦合是对数发散的猜想。我们讨论了这种散度的重整化，但没有找到令人满意的非微扰技术。最后，我们研究了对这种发散不敏感的性质，计算了理论的临界指数，发现与平均场理论不谋而合。
We investigate (1+1)-dimensional [phi][sup 4] field theory in the symmetric and broken phases using discrete light-front quantization. We calculate the perturbative solution of the zero-mode constraint equation for both the symmetric and broken phases and show that standard renormalization of the theory yields finite results. We study the perturbative zero-mode contribution to two diagrams and show that the light-front formulation gives the same result as the equal-time formulation. In the broken phase of the theory, we obtain the nonperturbative solutions of the constraint equation and confirm our previous speculation that the critical coupling is logarithmically divergent. We discuss the renormalization of this divergence but are not able to find a satisfactory nonperturbative technique. Finally we investigate properties that are insensitive to this divergence, calculate the critical exponent of the theory, and find agreement with mean field theory as expected.