格点Weinberg-Salam模型phase diagram上的涨落区
The fluctuational region on the phase diagram of lattice Weinberg - Salam model
摘要：
对不含费米子的格点Weinberg-Salam模型进行了数值研究，以实际选择与Weinberg角$θ_W \sim 30^o$和精细结构常数$α\sim {1/100}$相对应的裸耦合常数。在相图上存在物理Higgs相和非物理对称相之间的相变附近，这里标量场的涨落变强。经典的南部对称可以看作是物理相内的非物理对称相的胚胎。在涨落区量子Nambu单极是密集的，因此，周围平凡真空的微扰展开不能应用。在使用尺寸为$8^3\times 16$、$12^3\times 16$和$16^4$的晶格计算的耦合常数的给定值处，截止的最大值为$Λ_c \sim 1.4 \pm 0.2$ Tev。由于使用的晶格尺寸相当小，我们认为这一结果是初步的。
英文摘要：
The lattice Weinberg - Salam model without fermions is investigated numerically for the realistic choice of bare coupling constants correspondent to the value of the Weinberg angle $θ_W \sim 30^o$, and the fine structure constant $α\sim {1/100}$. On the phase diagram there exists the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase, where the fluctuations of the scalar field become strong. The classical Nambu monopole can be considered as an embryo of the unphysical symmetric phase within the physical phase. In the fluctuational region quantum Nambu monopoles are dense and, therefore, the perturbation expansion around trivial vacuum cannot be applied. The maximal value of the cutoff at the given values of coupling constants calculated using the lattices of sizes $8^3\times 16$, $12^3\times 16$, and $16^4$ is $Λ_c \sim 1.4 \pm 0.2$ Tev. As the lattice sizes used are rather small we consider this result as preliminary.
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