The spatial Wilson loops, string breaking, and AdS/QCD

Abstract

We consider the phenomenon of string breaking in the context of the spatial Wilson loops using the gauge/string duality. In particular, we discuss the impact of light flavors on the pseudopotential. We also introduce the notion of the spatial string breaking distance and estimate it for $SU(3)$ gauge theory in the temperature range $0\,\text{-}\,3\,T_c$.

Figures (4)

• Figure 1: String configurations in five dimensions. The rectangle at $r=0$ is shown in bold and the horizon at $r=r_h$ in gray. The string profiles are sketched at $y=0$ and $y=Y$. Left: A connected configuration. Here $r_0$ is the $r$-coordinate of the string turning point. Right: A disconnected configuration. Here $r_{\bar{q}}$ denotes a $r$-coordinate of the light quarks.
• Figure 2: Left: The constant terms $C$ (solid) and $2c$ (dashed) as a function of temperature. We set $c=0.623\,\text{GeV}$, here and below. Right: The solution of Eq.\ref{['qb']}. The dashed curve corresponds to the horizon in units $\mathsf{s}r_h^2$. The soft wall is at $1$ in these units.
• Figure 3: Left: $V_\text{\scriptsize dis}$ vs $\frac{T}{T_c}$. Right: $V_\text{\scriptsize con}$ and $V_\text{\scriptsize dis}$ vs $\ell$ at various temperatures.
• Figure 4: Left: Sketched here is the pseudopotential at various temperatures. $V_\text{\scriptsize con}$ and $V_\text{\scriptsize dis}$ are shown in dashed lines. We set $\Theta=50\,\text{MeV}$ at $T=0$ and $T=1.5T_c$. Right: The spatial string breaking distance as a function of temperature.