Bonus properties of states of low energy

R. Banerjee, M. Niedermaier
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引用次数: 7

Abstract

States of Low Energy (SLE) are exact Hadamard states defined on arbitrary Friedmann-Lemaitre spacetimes. They are constructed from a fiducial state by minimizing the Hamiltonian's expectation value after averaging with a temporal window function. We show the SLE to be expressible solely in terms of the (state independent) commutator function. They also admit a convergent series expansion in powers of the spatial momentum, both for massive and for massless theories. In the massless case the leading infrared behavior is found to be Minkowski-like for all scale factors. This provides a new cure for the infrared divergences in Friedmann-Lemaitre spacetimes with accelerated expansion. In consequence, massless SLE are viable candidates for pre-inflationary vacua and in a soluble model are shown to entail a qualitatively correct primordial power spectrum.
低能态的附加性质
低能态(SLE)是在任意弗里德曼-勒梅特时空上定义的精确哈达玛态。它们是通过最小化哈密顿函数的期望值和时间窗函数平均后的基准状态来构造的。我们证明SLE可以仅用(状态无关的)换向子函数表示。他们也承认空间动量的幂级数在有质量和无质量理论中都有收敛的级数膨胀。在无质量的情况下,发现所有尺度因子的主要红外行为都是闵可夫斯基样的。这为加速膨胀的弗里德曼-勒梅特时空中的红外发散提供了一种新的解决方法。因此,无质量SLE是暴胀前真空的可行候选者,并且在可溶模型中显示需要质量正确的原始功率谱。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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