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为什么是4D?从规范临界性的自发维度选择

Why 4D? Spontaneous Dimensional Selection from Gauge Criticality

Wen Yin

arXiv 2607.28615首次发表:更新:

AI 中文总结

本文基于杨-米尔斯耦合的维度相关性,提出规范临界性可自发选择四维,通过无额外维假设的跑道模型,证明4D时空可由规范临界性诱导的超对称破缺及超引力效应稳定实现。

AI 中文摘要

注意到杨-米尔斯耦合在四维以下是相关的、四维是边际的、四维以上是无关的,本文提出这种临界性可导致四个宏观维度的选择。作为原理验证,本文给出一个额外维场景中常见的具体跑道模型,但未假设非紧致4D时空。在未指定4D的可控模型中,本文发现4D时空通过规范临界性诱导的超对称破缺和超引力效应实现的伸缩子稳定,自发地被实现。

英文摘要

Noting that the Yang--Mills coupling is relevant below four dimensions, marginal in four dimensions, and irrelevant above four dimensions, I propose that this criticality can lead to the selection of four macroscopic dimensions. As a proof of principle, I present a concrete racetrack model of the type commonly studied in extra-dimensional scenarios, but without assuming a noncompact 4D spacetime. I find, within a well-controlled model without specifying the 4D, that 4D spacetime is spontaneously realized through radion stabilization via gauge-criticality-induced supersymmetry breaking and supergravity effects.

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