Counterexamples to the correlated stability conjecture

Joshua J. Friess; Steven S. Gubser; Indrajit Mitra

doi:10.1103/PhysRevD.72.104019

Counterexamples to the correlated stability conjecture

Joshua J. Friess, Steven S. Gubser, Indrajit Mitra

Physics

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29 Scopus citations

Abstract

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.

Original language	English (US)
Article number	104019
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	72
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.72.104019
State	Published - Nov 15 2005

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.72.104019

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abstract = "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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AU - Mitra, Indrajit

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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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Counterexamples to the correlated stability conjecture

Abstract

All Science Journal Classification (ASJC) codes

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