论文标题

在辐射对称性破坏的尺度层次结构上

On the scale hierarchy in radiative symmetry breaking

论文作者

Arbuzov, A. B., Voznaya, U. E., Kopylova, T. V.

论文摘要

在使用简单的量子场理论模型的示例中讨论了量表层次结构的出现。 Coleman-Weinberg机制是在与费米昂磁场相互作用的有效电位的一环近似中实现的。显示了重新归一化量表与标量场真空期望值之间的层次结构的出现。构建了有效潜在最小值附近的有效模型,并没有直接重新归一化组过渡到原始理论。结果表明,红外区域中有效的模型参数测量使我们能够确定限制模型适用性区域的规模。

The emergence of a scale hierarchy in the case of spontaneous radiative breaking of conformal symmetry is discussed using the example of a simple quantum field theory model. The Coleman-Weinberg mechanism is implemented in the one-loop approximation of the effective potential of a scalar field interacting with a fermion field. The emergence of a hierarchy between the renormalization scale and the magnitude of the scalar field vacuum expectation value is shown. An effective model in the vicinity of the effective potential minimum is constructed, and absence of a direct renormalization group transition to the original theory is established. It is shown that effective model parameters measurement in the infrared region allows us to determine the scale that limits the applicability region of the model.

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