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.
Highlights
The gauge/gravity duality is a conjectured relationship between quantum field theory and gravity
The remainder of the paper is organized as follows: Section II considers a brief review of modified AdS5 (MAdS) background and its black hole version, which is called modified black hole (MBH), and we investigate the thermodynamic properties of them including entropy, density, and pressure, which are given in terms of nonconformal parameter theory
We study zero temperature and finite temperature potential energy and holographic subregion complexity (HSC) of a probe meson using anti–de Sitter (AdS)=CFT correspondence in a nonconformal model
Summary
The gauge/gravity duality is a conjectured relationship between quantum field theory and gravity. The most significant example of gauge/gravity duality is the AdS=CFT correspondence which proposes a duality between IIB string theory on anti–de Sitter (AdS) spacetimes in d þ 1 dimensions and d-dimensional superconformal field theories This framework has been applied to study quantities such as Wilson loops, entanglement entropy and has recently been extended to the quantum computational complexity in field theory. There have been two prescriptions to calculate the quantum complexity in terms of the gauge/ gravity duality, which are known as the Complexity 1⁄4 Volume (CV) conjecture [19] and the Complexity 1⁄4 Action (CA) conjecture [20,21] Note that these proposals correspond to the complexity of a pure state in the whole boundary space of the dual quantum field theory. In Appendix B we do the same for HSC results
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