标准模型中截断值的上限
Upper bound on the cutoff in the Standard Model
摘要：
本文的主要目的是指出格点电弱理论中截止的上界仍然是未知的。连续介质理论的考虑是基于平凡真空周围的微扰展开。格点温伯格-萨拉姆模型的内部结构可能看起来更加复杂，特别是在相图中接近物理希格斯相和格点模型的非物理对称相之间的相变的区域，在那里要接近连续介质物理。我们代表我们的数值研究的结果淬火模型在无限裸标量自耦合$λ$。这些结果表明，在$λ= \infty$处，截止值的上限约为$\fracπ{a} = 1.4$ Tev。有限$λ$的初步结果也。基于这些结果，我们还不能对晶格模型中所允许的截止值的最大值作出明确的结论，尽管我们已经发现，对于尺寸达到$12^3\times16$的晶格，对于某种特定的耦合选择（$λ= 0.009$、$β= 12$、$θ_W = 30^o$），截止值不能超过$1.4 \pm 0.2$ Tev附近的值。我们还观察到，拓扑缺陷，这是确定与量子Nambu单极，占主导地位的过渡附近的真空。这表明该模型的真空不同于平凡真空。此外，我们提醒的结果，以前的数值研究的SU（2）规范-希格斯模型，其中最大的截止值约为1.5 Tev的报告。
英文摘要：
The main objective of this presentation is to point out that the Upper bound on the cutoff in lattice Electroweak theory is still unknown. The consideration of the continuum theory is based on the perturbation expansion around trivial vacuum. The internal structure of the lattice Weinberg - Salam model may appear to be more complicated especially in the region of the phase diagram close to the phase transition between the physical Higgs phase and the unphysical symmetric phase of the lattice model, where the continuum physics is to be approached. We represent the results of our numerical investigation of the quenched model at infinite bare scalar self coupling $λ$. These results demonstrate that at $λ= \infty$ the upper bound on the cutoff is around $\fracπ{a} = 1.4$ Tev. The preliminary results for finite $λ$ are also presented. Basing on these results we cannot yet make a definite conclusion on the maximal value of the cutoff admitted in the lattice model, although we have found that the cutoff cannot exceed the value around $1.4 \pm 0.2$ Tev for a certain particular choice of the couplings ($λ= 0.009$, $β= 12$, $θ_W = 30^o$) for the lattices of sizes up to $12^3\times16$. We also observe that the topological defects, which are to be identified with quantum Nambu monopoles, dominate in vacuum in the vicinity of the transition. This indicates that the vacuum of the model is different from the trivial one. In addition we remind the results of the previous numerical investigations of the SU(2) gauge - Higgs model, where the maximal reported value of the cutoff was around 1.5 Tev.
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