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arXiv 1305.0752hep-lat
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各向异性五维SU体系向层状相的转变(2)Yang-Mills理论

The transition to a layered phase in the anisotropic five-dimensional SU(2) Yang-Mills theory

Luigi Del Debbio, Richard D. Kenway, Eliana Lambrou, Enrico Rinaldi

摘要:

我们把以前用蒙特卡罗模拟对各向异性五维SU(2)Yang-Mills模型相图的研究工作推广到大晶格中,其中第五维晶格间距大于其它四维晶格间距.我们发现在各向异性参数点$β_4=2.60$的限制和decenfining阶段之间的一阶相变,这是以前声称是临界点,在该点的过渡的顺序从第一个到第二个的变化。我们的结论是,大晶格需要建立一阶性质的这条线的过渡,因此,通过存在所谓的“层相”的情况下的五维理论的降维连续四维理论是没有希望的。

英文摘要:

We extend to large lattices the work of a previous investigation of the phase diagram of the anisotropic five-dimensional SU(2) Yang-Mills model using Monte Carlo simulations in the regime where the lattice spacing in the fifth dimension is larger than in the other four dimensions. We find a first order phase transition between the confining and deconfining phase at the anisotropic parameter point $β_4=2.60$ which was previously claimed to be the critical point at which the order of the transition changes from first to second. We conclude that large lattices are required to establish the first order nature of this line of transitions and consequently that the scenario of dimensional reduction of the five-dimensional theory to a continuum four-dimensional theory via the existence of the so-called "layer phase" is unpromising.

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