We investigate Non-Hermitian quantum field theoretic model with $\iota g{\varphi }^3$ interaction in 6-dimension. Such a model is PT-symmetric for the pseudo scalar field $\varphi$. We analytically calculate the 2-loop $\beta$ function and analyze the system using renormalization group technique. Behavior of the system is studied near the different fixed points. Unlike $g{\varphi }^3$ theory in 6-dimension $\iota g{\varphi }^3$ theory develops a new non trivial fixed point which is energetically stable. Existence of new non-trivial UV fixed points is also shown for three and four loop $\beta$-functions.

中文翻译：

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更高的循环 $\beta$ 非Hermitian PT对称函数 $\iota G{\varphi }^3$ 理论

我们研究了非赫米特量子场理论模型 $\iota G{\varphi }^3$6维互动。对于伪标量场，这种模型是PT对称的$\varphi$。我们分析计算2环$\beta$使用重归一化组技术来运行和分析系统。在不同的固定点附近研究系统的行为。不像$G{\varphi }^3$ 6维理论 $\iota G{\varphi }^3$理论发展了一个新的非平凡的固定点，它是能量稳定的。还显示了三个和四个回路的新的非平凡紫外线固定点的存在$\beta$-职能。