The confining string beyond the free-string approximation in the gauge dual of percolation

Understand

We simulate five different systems belonging to the universality class of the gauge dual of three-dimensional random percolation to study the underlying effective string theory at finite temperature.

• All the data for the finite temperature string tension, when expressed by means of adimensional variables, are nicely described by a unique scaling function.
• We calculate the first few terms of the string tension up to order $T^6$ and compare to different theoretical predictions.
• We obtain unambiguous evidence that the coefficients of $T^2$ and $T^4$ terms coincide with those of the Nambu-Goto string, as expected, while the $T^6$ term strongly differs and is characteristic of the universality class of this specific gauge theory.