Entanglement temperature for the excitation of SYM theory in (De)confinement phase

Abstract

We study the holographic supersymmetric Yang-Mills (SYM) theory, which is living in a hyperbolic space, in terms of the entanglement entropy. The theory contains a parameter ($C$) corresponding to the excitation of the SYM theory, and it controls the dynamical properties of the theory. The entanglement temperature ($T_{ent}$) is obtained by imposing the thermodynamic law for the relative entanglement entropy and the energy density of the excitation. This temperature is available at any value of the parameter $C$ even in the region where the Hawking temperature disappears. With this new temperature, the dynamical properties of the excited SYM theory are examined in terms of the thermodynamic law. We could find the signatures of phase transitions of the theory.

24 pages, 5 figures

References in corpus (8)

• Towards a derivation of holographic entanglement entropy
• Equation of state and QCD transition at finite temperature
• Entanglement as a Probe of Confinement
• Thermodynamical Property of Entanglement Entropy for Excited States
• Holographic (De)confinement Transitions in Cosmological Backgrounds
• Holographic Friedmann Equation and $\mathcal{N}=$4 SYM theory
• Chiral Symmetry of SYM theory in hyperbolic space at finite temperature
• Glueball instability and thermalization driven by dark radiation

Cited by in corpus (3)

• Time-evolution of holographic entanglement entropy and metric perturbations
• On the Shape Dependence of Entanglement Entropy
• Holographic Cosmology and Phase Transitions of SYM theory