Non-Conformality, Subregion Complexity and Meson Binding

TL;DR

This paper investigates how non-conformality and temperature affect meson potential energy and holographic subregion complexity, revealing that non-conformality reduces potential energy but increases complexity, with implications near phase transitions.

Contribution

It provides a holographic analysis of meson properties in non-conformal models at various temperatures, highlighting the contrasting effects on potential energy and complexity.

Findings

Non-conformality decreases meson potential energy at zero and low temperatures.

Non-conformality increases holographic subregion complexity in all temperatures.

Near phase transition, zero temperature meson states are more favorable based on complexity.

Abstract

We study holographically the zero and finite temperature behavior of the potential energy and holographic subregion complexity corresponding to a probe meson in a non-conformal model. We observe that in zero and low temperature non-conformality has a decreasing effect on the dimensionless meson potential energy. However, non-conformal corrections increase absolute value of the dimensionless holographic subregion complexity in both zero and finite temperature which means the non-conformal state needs less information to be specified. In other words, considering the effect of non-conformality, the less bounded meson state needs less information to be specified. In low temperature limits, thermal corrections decrease meson potential energy and do not have a specific effect on holographic subregion complexity. We 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.