Counter-examples to the correlated stability conjecture

Details Counter-examples to the correlated stability conjecture Counter-examples to the correlated stability conjecture

2005-08-30

arxiv.org/abs/hep-th/0508220v2

Phys.Rev. D72 (2005) 104019

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 5 figures. v2: minor improvements, reference added

Scientific paper

10.1103/PhysRevD.72.104019

We demonstrate explicit counter-examples to the Correlated Stability Conjecture (CSC), which claims that the horizon of a black brane is unstable precisely if that horizon has a thermodynamic instability, meaning that its matrix of susceptibilities has a negative eigenvalue. These examples involve phase transitions near the horizon. Ways to restrict or revise the CSC are suggested. One of our examples shows that N=1* gauge theory has a second order chiral symmetry breaking phase transition at a temperature well above the confinement scale.

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