Chapter 8 Naive fermions critical fit W \(\beta=5.75\) \(\rho=1.96\)
8.0.0.1 Simplified fit local rawi
The fit formula with tau
\[ \begin{cases} r_{AWI}=P[1] (\eta- \eta_{cr}) +P[2] \mu\\ \end{cases} \] In the above fit we are treating \(\eta_{cr}\) and \(m_{cr}\) as fits parameters, so \[ \eta_{cr}=P[0] \]
8.0.1 tau=2
\[\begin{gather} \chi^2/d.o.f.=0.0101487 \\ P[0]=-1.26153\pm (0.0028) \\ P[1]=-0.977204\pm (0.0072) \\ P[2]=0.205121\pm (0.086) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& -0.000872& -8.85e-05\\ -0.000872& 1& -0.000383\\ -8.85e-05& -0.000383& 1\\ \end{pmatrix} \end{gather}\]}
8.0.2 tau=3
\[\begin{gather} \chi^2/d.o.f.=0.0010876 \\ P[0]=-1.27828\pm (0.0044) \\ P[1]=-0.975728\pm (0.0098) \\ P[2]=0.314211\pm (0.11) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& -0.00161& -0.000173\\ -0.00161& 1& -0.00129\\ -0.000173& -0.00129& 1\\ \end{pmatrix} \end{gather}\]}
8.0.3 tau=4
\[\begin{gather} \chi^2/d.o.f.=0.00531205 \\ P[0]=-1.26973\pm (0.006) \\ P[1]=-0.983751\pm (0.011) \\ P[2]=0.376337\pm (0.14) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& -0.000735& -0.00119\\ -0.000735& 1& 0.00051\\ -0.00119& 0.00051& 1\\ \end{pmatrix} \end{gather}\]}
8.0.4 tau=5
\[\begin{gather} \chi^2/d.o.f.=0.00525624 \\ P[0]=-1.25499\pm (0.0085) \\ P[1]=-0.990844\pm (0.014) \\ P[2]=0.240153\pm (0.19) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& -0.000485& -0.00162\\ -0.000485& 1& 0.00319\\ -0.00162& 0.00319& 1\\ \end{pmatrix} \end{gather}\]}