低能态的Bonus性质
Bonus Properties of States of Low Energy
摘要:
低能态(SLE)是定义在任意弗里德曼-勒梅特时空上的精确阿达玛态。它们是从一个基准状态,通过最小化的哈密顿的期望值后,平均与时间窗口函数。我们的SLE是可表达的(状态独立)换向器功能。他们也承认收敛级数展开的权力的空间动量,无论是为大规模和无质量的理论。在无质量的情况下,领先的红外行为被发现是闵可夫斯基的所有比例因子。这为加速膨胀的Friedmann-Lemaittre时空中的红外发散提供了一种新的治疗方法。因此,无质量的SLE是可行的候选人的前膨胀真空和可溶性模型中所示,需要一个定性正确的原始功率谱。
英文摘要:
States of Low Energy (SLE) are exact Hadamard states defined on arbitrary Friedmann-Lemaître 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-Lemaître 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.
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