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arXiv 1609.01667hep-thmath-phmath.MP
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任意自旋大质量粒子的弦定域自由矢量和张量势:I。玻色子

String-localized free vector and tensor potentials for massive particles with any spin: I. Bosons

Jens Mund, Erichardson T. de Oliveira

摘要:

众所周知,作用在希尔伯特空间中的自旋为$s$的大质量粒子的(点定域)自由量子场最多具有标度维数$s+1$,这排除了它在更高自旋的可重整化相互作用模型($s\geq 1$)的微扰构造中的使用。到目前为止,这样的模型只建立在规范理论的背景下,在引入额外的非物理(鬼)场和非物理(不定度规)状态空间的成本。非物理的自由度通过要求规范(或BRST)不变性来划分。我们构造的自由量子场的高自旋粒子具有相同的良好的UV行为的标量场(标度维1),并在同一时间作用于希尔伯特空间没有鬼。它们局域在延伸到类空无穷远的半无限弦上,但与它们的点局域对应物线性相关。我们认为,这是足够的局部性的相互作用模型的规范理论类型的微扰建设,与弦无关的S-矩阵和点本地化的相互作用的可观测领域。通常的规范不变性原理在这里被(更深的)定域性原理所取代。

英文摘要:

It is well-known that a (point-localized) free quantum field for massive particles with spin $s$ acting in a Hilbert space has at best scaling dimension $s+1$, which excludes its use in the perturbative construction of renormalizable interacting models for higher spin ($s\geq 1$). Up to date, such models have been constructed only in the context of gauge theory, at the cost of introducing additional unphysical (ghost) fields and an unphysical (indefinite metric) state space. The unphysical degrees of freedom are divided out by requiring gauge (or BRST) invariance. We construct free quantum fields for higher spin particles which have the same good UV behaviour as the scalar field (scaling dimension one), and at the same time act on a Hilbert space without ghosts. They are localized on semi-infinite strings extending to space-like infinity, but are linearly related to their point-local counterparts. We argue that this is sufficient locality for a perturbative construction of interacting models of the gauge theory type, with a string-independent S-matrix and point-localized interacting observable fields. The usual principle of gauge-invariance is here replaced by the (deeper) principle of locality.

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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