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arXiv 1405.0487hep-phhep-thnucl-th
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世界线全息施温格效应

Worldline holographic Schwinger effect

Dennis D. Dietrich

摘要:

由于电场的存在而引起的真空衰减预计会被限制力延迟。我们证明,这个功能是捕获我们的模型[arXiv:1404.0011 [hep-ph],arXiv:1312.5718 [hep-ph]]的基础上的世界线形式主义的强子。我们的模型虽然完全基于四维量子场论,但与全息方法有许多共同的特征:它本质上是量子力学的;作为辅助的第五维,Schwinger的固有时间与物理的四维时空结合成AdS $_5$几何;共形对称破缺的贡献导致翘曲;隐藏的局部对称性出现;通过威尔逊流(梯度流)将四维源扩展到五维场;并且用于该流的变分原理再现了相应的全息计算。该方法也产生了更高的维描述在非相对论的情况下。

英文摘要:

The decay of the vacuum due to the presence of an electric field is expected to be delayed by a confining force. We demonstrate that this feature is captured by our model [arXiv:1404.0011 [hep-ph],arXiv:1312.5718 [hep-ph]] for hadrons based on the worldline formalism. Our model, while based entirely in four-dimensional quantum field theory, shares many features with holographic approaches: it appears intrinsically quantum mechanical; as an auxiliary fifth dimension Schwinger's proper time combines with the physical four spacetime dimensions into an AdS$_5$ geometry; conformal-symmetry breaking contributions lead to warping; hidden local symmetry emerges; four-dimensional sources are extended to five-dimensional fields by a Wilson flow (gradient flow); and a variational principle for this flow reproduces the corresponding holographic calculation. The approach also yields the higher-dimensional description in the non-relativistic case.

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