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Paper   IPM / Particles / 17863
School of Particles and Accelerator
  Title:   Entanglement of Purification as a Measure of Non-Conformality
  Author(s):  M Asadi
  Status:   Published
  Journal: Phys. Lett. B
  Vol.:  862
  Year:  2025
  Supported by:  IPM
  Abstract:
We have studied the entanglement of purification Ep in a non-conformal holographic model which is a five-dimensional Einstein gravity coupled to a scalar field ϕ with a non-trivial potential V(ϕ). The dual 4-dimensional gauge theory is not conformal and exhibits a RG flow between two different fixed points. There are three parameters including energy scale Λ, model parameter ϕM and temperature T which control the behaviour of the theory. Interestingly, we have found that Ep can be used as a measure to probe the non-conformal 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 ΛT, then the correlation between the subsystems of these states can be the same independent of ΛT.

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