Yang-Mills理论的phase diagram及其紧额外维
The phase diagram of Yang-Mills theory with a compact extra dimension
摘要:
本文用非微扰方法研究了具有紧致额外维的五维时空中SU(2)Yang-Mills理论的相图。非重整化理论是正规化的各向异性晶格和研究通过数值模拟的制度,其特征在于由一个层次之间的规模的低能物理,反紧化半径,和截止尺度。我们绘制出的相图的结构和图案的线对应于固定值之间的比值的规范场的第五分量的质量和非微扰的质量间隙的四维模式。我们讨论了不同的限制模型,并评论我们的研究结果的影响。
英文摘要:
We present a non-perturbative study of the phase diagram of SU(2) Yang-Mills theory in a five-dimensional spacetime with a compact extra dimension. The non-renormalizable theory is regularized on an anisotropic lattice and investigated through numerical simulations in a regime characterized by a hierarchy between the scale of low-energy physics, the inverse compactification radius, and the cutoff scale. We map out the structure of the phase diagram and the pattern of lines corresponding to fixed values of the ratio between the mass of the fifth component of the gauge field and the non-perturbative mass gap of the four-dimensional modes. We discuss different limits of the model, and comment on the implications of our findings.
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