TY - JOUR
T1 - Counterexamples to the correlated stability conjecture
AU - Friess, Joshua J.
AU - Gubser, Steven S.
AU - Mitra, Indrajit
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2005/11/15
Y1 - 2005/11/15
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.72.104019
DO - 10.1103/PhysRevD.72.104019
M3 - Article
AN - SCOPUS:29744451973
VL - 72
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 10
M1 - 104019
ER -