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arXiv 1111.0795hep-lathep-th
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五维规范理论的降维

Dimensional reduction from five-dimensional gauge theories

Francesco Knechtli, Antonio Rago

摘要:

研究了各向异性晶格上具有周期边界条件的五维SU(2)规范理论的相图。我们在一个方向上定位了与中心断裂有关的一阶体相变和二阶相变。通过一维的紧化而不是一维的紧化,可以将一维简化为四维。通过在额外维度中选择一个大于其他维度的晶格间距,我们发现与额外维度正交的超平面相互解耦的暗示。我们的分析是基于测量的Polyakov回路,静态电位提取的威尔逊圈和重整化耦合定义通过静态力及其衍生物。

英文摘要:

We study the phase diagram of five-dimensional SU(2) gauge theories on anisotropic lattices with periodic boundary conditions. We locate a line of first order bulk phase transitions and second order phase transitions related to breaking of the center along one direction. A reduction to four dimensions occurs through compactification of one dimension but not only. By choosing a lattice spacing in the extra dimension larger than in the other dimensions, we find hints that the hyperplanes orthogonal to the extra dimension decouple from each other. Our analysis is based on measurements of Polyakov loops, the static potential extracted from Wilson loops and renormalized couplings defined through the static force and its derivative.

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