Nonconformality, subregion complexity, and meson binding

We study holographically the zero and finite temperature behavior of the potential energy and holographic subregion complexity corresponding to a probe meson in a nonconformal model. interestingly, in the specific regime of the model parameters, at zero and low temperatures, we find a nicely linear relation between dimensionless meson potential energy and dimensionless volume implying that the less binding meson state needs less information to be specified and vice versa, but this behavior can not be confirmed in the high temperature limit. We also observe that the nonconformal corrections increase the holographic subregion complexity in both the zero and finite temperature states. However, nonconformality has a decreasing effect on the dimensionless meson potential energy. We finally find that in the vicinity of the phase transition, the zero temperature meson state is more favorable than the finite temperature state, from the holographic subregion complexity point of view.

Automated summary

In a nonconformal model, the potential energy and holographic subregion complexity of probe mesons at zero and finite temperatures exhibit interesting characteristics, including a linear relationship between dimensionless meson potential energy and volume at low temperatures, and the impact of nonconformality on these properties. Near the phase transition, the zero temperature meson state is favored from the perspective of holographic subregion complexity.