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arXiv 2111.02418hep-thcond-mat.stat-mech
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QFT中荷电态普适密度的证明

Proof of the universal density of charged states in QFT

Javier M. Magan

摘要:

我们证明了Harlow和Ooguri最近提出的一个猜想,关于量子场论在高能量下与有限群相关的全局对称性的荷电态密度的一个普适公式。卡西尼、韦尔塔、庞泰洛和本文作者在以前的一篇文章中证明了一种等价的说法,这种说法是基于与热场双态中带电算子相关的熵序参量。在这里,我们描述了关于熵序参量的陈述是如何产生的,以及它是如何转化为普适态密度的。确定性原理的使用,涉及熵序和无序参数,是证明的关键。我们注意到,虽然这一结果的直接应用涉及带电状态,这种密度的起源和物理可以理解的真空部门只看。我们还描述了这些参数是如何在这些类型的系统中的所谓熵均分的起源,以及它们如何推广到非紧流形上的QFT。

英文摘要:

We prove a recent conjecture by Harlow and Ooguri concerning a universal formula for the charged density of states in QFT at high energies for global symmetries associated with finite groups. An equivalent statement, based on the entropic order parameter associated with charged operators in the thermofield double state, was proven in a previous article by Casini, Huerta, Pontello, and the present author. Here we describe how the statement about the entropic order parameter arises, and how it gets transformed into the universal density of states. The use of the certainty principle, relating the entropic order and disorder parameters, is crucial for the proof. We remark that although the immediate application of this result concerns charged states, the origin and physics of such density can be understood by looking at the vacuum sector only. We also describe how these arguments lie at the origin of the so-called entropy equipartition in these type of systems, and how they generalize to QFT's on non-compact manifolds.

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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