In an earlier paper, it has been shown that the ultra violet divergence structure of anomalous U(1) axial vector gauge model in the stochastic quantization scheme is different from that in the conventional quantum field theory. Also, it has been shown that the model is expected to be renormalizable. Based on the operator formalism of the stochastic quantization, a new approach to anomalous U(1) axial vector gauge model is proposed. The operator formalism provides a convenient framework for analysis of ultra violet divergences, but the computations in a realistic model become complicated. In this paper a new approach to do computations in the model is formulated directly in four dimensions. The suggestions put forward here will lead to simplification in the study of applications of the axial vector gauge theory, as well as those of other similar models.

中文翻译：

---

异常轴向矢量场理论的一种新方法

在较早的一篇论文中，已经表明异常的紫外发散结构ü(1)随机量化方案中的轴向矢量规范模型与常规量子场论中的轴向矢量规范模型不同。此外，已经表明该模型有望可重整化。基于随机量化的算子形式，一种新的异常处理方法ü(1)提出了轴向矢量规范模型。算子形式主义为分析紫外散度提供了一个方便的框架，但在现实模型中的计算变得复杂。在本文中，一种在模型中进行计算的新方法直接在四个维度上制定。这里提出的建议将简化轴向矢量规范理论以及其他类似模型的应用研究。