“School of Particles And Accelerator”
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Paper IPM / Particles And Accelerator / 17863  


Abstract:  
We have studied the entanglement of purification $E_p$ in a nonconformal holographic model which is a fivedimensional Einstein gravity coupled to a scalar field $\phi$ with a nontrivial potential $V(\phi)$. The dual 4dimensional gauge theory is not conformal and exhibits a RG flow between two different fixed points. There are three parameters including energy scale $\Lambda$, model parameter $\phi_M$ and temperature $T$ which control the behaviour of the theory. Interestingly, we have found that $E_p$ can be used as a measure to probe the nonconformal behaviour of the theory at both zero and finite temperature. Furthermore, we have found that if one consider two different mixed state characterized by distinct values of $\frac{\Lambda}{T}$, then the correlation between the subsystems of these states can be the same independent of $\frac{\Lambda}{T}$.
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