论文标题
通过具有身体动机的红外临界
On Adiabatic Renormalization with a Physically Motivated Infrared Cut-Off
论文作者
论文摘要
我们引入了一种新的方法，以通过绝热减法在弯曲时空中重新归一量。我们使用一个共同的红外截止值来定义所考虑的物理量的绝热对应物，这是基于以下事实：绝热近似在光谱的红外尾部中不确定。我们展示了如何使用这种红外临界值来获得完全定义明确的重新归一化方案，以及如何避免通过延伸到红外尾巴的绝热减法的病理行为而产生的非物理差异。红外临界值似乎是该理论中引入的新自由度，其实际价值必须通过物理处方始终如一地固定。例如，我们说明如何设置这种自由度以在有症状模型的有症状情况下获得与伪量表量的膨胀模型的有症状情况下的正确值。
We introduce a new approach to renormalize physical quantities in curved space-time by adiabatic subtraction. We use a comoving infrared cut-off in defining the adiabatic counterpart of the physical quantity under consideration, building on the fact that the adiabatic approximation is ill-defined in the infrared tail of the spectrum. We show how this infrared cut-off should be used to obtain a completely well-defined renormalization scheme and how it is fundamental to avoid unphysical divergences that can be generated by a pathological behavior of the adiabatic subtraction extended to the infrared tail. The infrared cut-off appears as a new degree of freedom introduced in the theory and its actual value has to be consistently fixed by a physical prescription. As an example, we show how such degree of freedom can be set to obtain the correct value of the conformal anomaly in the symptomatic case of an inflationary model with gauge fields coupled to a pseudo-scalar inflaton.
