= Thermal relevant direction at the Wilson-Fisher fixed point
{title2=$y_t=2-\epsilon/3+O(\epsilon^2),\quad y_g=-\epsilon+O(\epsilon^2)$}
The scalar <Wilson-Fisher fixed point> is attractive within its <critical surface>, but has a relevant thermal direction. With $r=m^2\Lambda^{-2}$, $\lambda=g\Lambda^{-\epsilon}$, and $K_D=\Omega_D/(2\pi)^D$, its one-loop equations are $\dot r=2r+K_D\lambda/[2(1+r)]$ and $\dot\lambda=\epsilon\lambda-3K_D\lambda^2/[2(1+r)^2]$. Their <stability matrix> at $r_*=-\epsilon/6+O(\epsilon^2)$ and $\lambda_*=16\pi^2\epsilon/3+O(\epsilon^2)$ has the displayed <eigenvalues>. Thus an unrestricted claim of infrared attraction is false: the bare mass must be tuned to the critical surface.
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