Dolan, Brian P. (2016) Pressure and Compressibility of Conformal Field Theories from the AdS/CFT Correspondence. Entropy, 18 (5). p. 169. ISSN 10994300

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Abstract
The equation of state associated with N = 4 supersymmetric YangMills in 4 dimensions, for SU(N) in the large N limit, is investigated using the AdS/CFT correspondence. An asymptotically AdS blackhole on the gravity side provides a thermal background for the YangMills theory on the boundary in which the cosmological constant is equivalent to a volume. The thermodynamic variable conjugate to the cosmological constant is a pressure and the P − V diagram is studied. It is known that there is a critical point where the heat capacity diverges and this is reflected in the isothermal compressibility. Critical exponents are derived and found to be mean field in the large N limit. The same analysis applied to 3 and 6 dimensional conformal field theories again yields mean field exponents associated with the compressibility at the critical point. [1]
Item Type:  Article 

Divisions:  School of Theoretical Physics > Preprints 
Date Deposited:  05 Oct 2017 19:30 
Last Modified:  26 Jul 2018 10:53 
URI:  http://dair.dias.ie/id/eprint/337 
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