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- W3112135989 abstract "Abstract In the presence of finite chemical potential $$mu $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>μ</mml:mi> </mml:math> , we holographically compute the entanglement of purification in a $$2+1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> - and $$3+1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> -dimensional field theory and also in a $$3+1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> -dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to $$2+1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> - and $$3+1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> -dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of $$frac{mu }{T}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mfrac> <mml:mi>μ</mml:mi> <mml:mi>T</mml:mi> </mml:mfrac> </mml:math> where T is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated." @default.
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- W3112135989 date "2020-12-01" @default.
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- W3112135989 title "Holographic entanglement of purification near a critical point" @default.
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- W3112135989 doi "https://doi.org/10.1140/epjc/s10052-020-08647-8" @default.
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