5维Yang-Mills理论的降维和phase diagram
Dimensional reduction and the phase diagram of 5d Yang-Mills theory
摘要：
本文用非微扰方法研究了在晶格上具有一个紧致额外维的5维SU（2）Yang-Mills理论的相图。假设截断尺度和紧化尺度之间至少有适度的尺度分离，则紧化尺度和四维相关长度之间存在指数分离。虽然我们证明，这是不可能采取一个完整的五维连续极限，这种动态生成的规模层次打开了可能性，我们作出有限的，但非微扰，预测连续理论的低能量部门是由一个有效的5D杨米尔斯理论。
英文摘要：
We present a non-perturbative study of the phase diagram of 5d SU(2) Yang-Mills theory with one compact extra dimension on the lattice. Assuming at least a modest scale separation between the cutoff and the compactification scales leads to an exponential separation between the compactification scale and the four-dimensional correlation length. While we demonstrate that it is not possible to take a full five-dimensional continuum limit, this dynamical generation of scale hierarchy opens up the possibility for us to make limited, but non-perturbative, predictions about continuum theories whose low-energy sector is described by an effective 5d Yang-Mills theory.
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