论文标题
维度正则化，威尔逊式RG和自然/等级问题
Dimensional regularization, Wilsonian RG, and the Naturalness/Hierarchy problem
论文作者
论文摘要
虽然通常据说尺寸正则化（DR）没有直接的物理解释，但最近就可以赋予它可能具有特殊的物理特性的想法，这些特性将提供解决自然性/层次结构问题的机制。将Wilsonian直接计算与相应的DR进行比较，我们发现DR确实具有明确的物理含义，我们指出了它的局限性。特别是，我们的结果表明，博士无法提供自然/等级问题的解决方案。希格斯玻色子质量没有太大的校正是由于秘密实现的微调，而不是DR的特殊物理特性。我们还在Wilsonian RG框架内调查了这些问题，并且与通常的扰动RG分析相比，我们表明，对于解决该问题的一些流行建议，通常被认为是无需微调的物理机制，再次秘密地实施了调整。
While it is usually stated that dimensional regularization (DR) has no direct physical interpretation, consensus has recently grown on the idea that it might be endowed with special physical properties that would provide the mechanism that solves the naturalness/hierarchy problem. Comparing direct Wilsonian calculations with the corresponding DR ones, we find that DR indeed has a well-defined physical meaning, and we point out its limitations. In particular, our results show that DR cannot provide the solution to the naturalness/hierarchy problem. The absence of too large corrections to the Higgs boson mass is due to a secretly realized fine-tuning, rather than special physical properties of DR. We also investigate these issues within the Wilsonian RG framework and, by comparison with the usual perturbative RG analysis, we show that several popular proposals for the resolution of the problem, commonly considered as physical mechanisms free of fine-tuning, again secretly implement the tuning.
