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arXiv 2004.07843hep-thgr-qc
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全息与么正性

Holography and unitarity

Steven B. Giddings

摘要:

如果全息术是量子理论之间的等价,人们可能会期望它被描述为一个映射,该映射是体希尔伯特空间和边界希尔伯特空间之间的双射等距,保持了哈密顿量和对称性。全息被认为是引力(或弦)理论的一种性质,但不是非引力理论的性质;特别是马罗夫认为它起源于引力的规范对称性和约束。这些观测结果表明,研究假设的全息地图作为引力耦合$G$的函数。零耦合极限给出了普通的量子场论,因此不一定是全息的。这一点,以及非零$G$的重力结构,提出了关于完整地图的重要问题。特别是,一个全息地图的建设似乎需要作为输入的非微扰模拟的散装引力约束,即单一的散装演变的解决方案。此外,检查候选边界代数,包括边界哈密顿量,揭示了不封闭的边界理论所期望的通常的方式。

英文摘要:

If holography is an equivalence between quantum theories, one might expect it to be described by a map that is a bijective isometry between bulk and boundary Hilbert spaces, preserving the hamiltonian and symmetries. Holography has been believed to be a property of gravitational (or string) theories, but not of non-gravitational theories; specifically Marolf has argued that it originates from the gauge symmetries and constraints of gravity. These observations suggest study of the assumed holographic map as a function of the gravitational coupling $G$. The zero coupling limit gives ordinary quantum field theory, and is therefore not necessarily expected to be holographic. This, and the structure of gravity at non-zero $G$, raises important questions about the full map. In particular, construction of a holographic map appears to require as input a solution of the nonperturbative analog of the bulk gravitational constraints, that is, the unitary bulk evolution. Moreover, examination of the candidate boundary algebra, including the boundary hamiltonian, reveals commutators that don't close in the usual fashion expected for a boundary theory.

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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