We demonstrate explicit counterexamples 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.
|Physical Review D - Particles, Fields, Gravitation and Cosmology
|Published - Nov 15 2005
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)