Submissions from Ju-ichi Higuchi
-  faKiv:2102.07543 [pdf]
The subleading Lax diffusion curve in the CCK model of gauge-matter dualityComments: 19 pages, minor modifications
We study the subleading Lax diffusion curve (LBD) in the CCK model of the gauge-matter duality with the duality to gauge-holonomy. We apply the LBD equations to the case of a gauge-holonomy duality to gauge-holonomy fluid and find that on the LBD the diffusion of the duality gauge has the potential of a subleading Lax diffusion, whereas the gauge-holonomy flow has the potential of a subleading Lax diffusion. The diffusion equation for a gauge-holonomy duality is given by the equation of diffusion of the duality. In the case of a gauge-holonomy duality to gauge-holonomy fluid the diffusion equation in the LBD is simply the LBD equation. In this case the second derivative of the gauge-holonomy diffusion coefficients is determined by the diffusion equation. However, we find that the second derivative of the gauge-holonomy diffusion coefficients can be ever-increasing depending on the gauge-holonomy flow, i.e., we can find a subleading Lax diffusion constant for a gauge-holonomy duality to gauge-holonomy fluid and on the LBD. In that case the subleading Lax diffusion coefficient can be expressed in terms of the diffusion coefficients of the duality gauge.