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arXiv 2102.03363hep-thgr-qc
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分数阶算符的量子标量场理论

Quantum scalar field theories with fractional operators

Gianluca Calcagni

摘要:

我们研究一类微扰标量量子场论,其中动力学的特征是洛伦兹不变或洛伦兹破缺的分数阶非定域算子,其基础时空具有变化的谱维。这些理论要么是无幽灵的,要么是可重正化的幂次计数理论,但它们不能同时是两者。然而,其中一些是单圈酉有限的,并且可能在所有阶上都是酉有限的。

英文摘要:

We study a class of perturbative scalar quantum field theories where dynamics is characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional order and the underlying spacetime has a varying spectral dimension. These theories are either ghost free or power-counting renormalizable but they cannot be both at the same time. However, some of them are one-loop unitary and finite, and possibly unitary and finite at all orders.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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