论文标题
$ su（2）$ - 希格斯理论中希格斯过渡的新订单参数
A New Order Parameter for the Higgs Transition in $SU(2)$-Higgs Theory
论文作者
论文摘要
我们使用晶格技术研究了四维$ su（2） - $ gauge-higgs模型中的希格斯过渡，以搜索订单参数，这是希格斯现场跳参数$κ$的函数。我们使用四个不同的空间体积（$n_τ= 2 $），在应用Landau量规固定并研究相应的敏感性，磁化和第四阶粘合剂累积液并研究相应的敏感性，磁化和第四阶粘合剂累积的情况下测量HIGGS冷凝物。计算是通过量规耦合进行的，$β_G= 8 $，对于一系列标量自耦合，$λ= \ {0.00010，0.00350 \} $，在关键端点附近重点。量规固定冷凝物及其累积物的有限尺寸缩放分析与标准$ 3 $ d ising值$ν= 0.62997 $，$β/ν= 0.518 $，$γ/ν= 1.964 $ at $λ= 0.00150 $。这些结果与以前的研究一致，表明$ 3 $ d ising普遍班。数值结果还表明，在过渡点，量规固定的冷凝水在无限体积限制中消失。
We investigate the Higgs transition within the four dimensional $SU(2)-$ gauge-Higgs model in search for an order parameter as a function of the Higgs field hopping parameter, $κ$, using Lattice technique. We measure the Higgs condensate after applying Landau Gauge Fixing and study the corresponding susceptibility, magnetization and fourth order Binder cumulant using four different spatial volumes with $N_τ=2$. The computation is carried out with gauge coupling, $β_g = 8$, for a range of scalar self-coupling, $λ= \{0.00010, 0.00350\}$, with emphasis near the critical end-point. Finite size scaling analysis of the gauge fixed condensate and its cumulants agree with the standard $3$d Ising values $ν=0.62997$, $β/ν=0.518$, $γ/ν=1.964$ at $λ= 0.00150$. These results are in agreement with previous studies suggesting $3$d Ising universality class. The numerical results also indicate that, at the transition point, the gauge fixed condensate vanishes in the infinite volume limit.
