论文标题

一致的量子场理论从维度还原

A consistent quantum field theory from dimensional reduction

论文作者

Maiezza, Alessio, Vasquez, Juan Carlos

论文摘要

我们在量子场理论的扰动公式中纳入了高能量下的尺寸还原的概念。在这个新框架中,空间和动量整合通过结合与尺寸还原量表相关的有效质量能量的加权函数来修改。我们量化规范形式主义中的理论。然后,我们证明它可以在扰动理论,不具有肾上腺歧义的歧义,并且与标准量子场理论相比,无限偶联常数具有更好的分析行为。新方法在低能量下重现已知结果。这类模型的一个关键特征是,耦合常数始终达到紫外线区域中的固定点,使模型超紫色完成。

We incorporate the concept of dimensional reduction at high energies within the perturbative formulation of quantum field theory. In this new framework, space and momentum integrations are modified by a weighting function incorporating an effective mass energy associated with the dimensional reduction scale. We quantize the theory within canonical formalism. We then show that it can be made finite in perturbation theory, free of renormalon ambiguities, and with better analytic behavior for infinitesimal coupling constant compared to standard quantum field theory. The new approach reproduces the known results at low energies. One key feature of this class of models is that the coupling constant always reaches a fixed point in the ultraviolet region, making the models ultra-violet complete.

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