Studies of a general flat space/boson star transition model in a box through a language similar to holographic superconductors

Abstract

We study a general flat space/boson star transition model in quasi-local ensemble through approaches familiar from holographic superconductor theories. We manage to find a parameter ${\psi }_2$, which is proved to be useful in disclosing properties of phase transitions. In this work, we explore effects of the scalar mass, scalar charge and St$\ddot{u}$ckelberg mechanism on the critical phase transition points and the order of transitions mainly from behaviors of the parameter ${\psi }_2$. We mention that properties of transitions in quasi-local gravity are strikingly similar to those in holographic superconductor models. We also obtain an analytical relation ${\psi }_2\propto (\mu -{\mu }_c{)}^{1/2}$, which also holds for the condensed scalar operator in the holographic insulator/superconductor system in accordance with mean field theories.

11 pages, 6 figures

References in corpus (13)

• Building an AdS/CFT superconductor
• Complete Phase Diagrams for a Holographic Superconductor/Insulator System
• Gauss-Bonnet Holographic Superconductors
• Competing Holographic Orders
• Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
• Various types of phase transitions in the AdS soliton background
• Building a Holographic Superconductor with a Scalar Field Coupled Kinematically to Einstein Tensor
• Note on the butterfly effect in holographic superconductor models
• Holographic entanglement entropy in general holographic superconductor models
• Holographic Entanglement Entropy in 2D Holographic Superconductor via $Ad{S}_3/CF{T}_2$
• Effect of scalar field mass on gravitating charged scalar solitons and black holes in a cavity
• Phases of Global AdS Black Holes
• A general holographic metal/superconductor phase transition model

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