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

Research output: Contribution to journal › Article › peer-review

24 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)

Access to Document

10.1103/PhysRevD.72.104019

Fingerprint Dive into the research topics of 'Counterexamples to the correlated stability conjecture'. Together they form a unique fingerprint.

Cite this

@article{3e64a993660b4728a5f253a3fe528fc1,

title = "Counterexamples to the correlated stability conjecture",

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.",

author = "Friess, {Joshua J.} and Gubser, {Steven S.} and Indrajit Mitra",

year = "2005",

month = nov,

day = "15",

doi = "10.1103/PhysRevD.72.104019",

language = "English (US)",

volume = "72",

journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",

issn = "1550-7998",

number = "10",

}

TY - JOUR

T1 - Counterexamples to the correlated stability conjecture

AU - Friess, Joshua J.

AU - Gubser, Steven S.

AU - Mitra, Indrajit

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.

UR - http://www.scopus.com/inward/record.url?scp=29744451973&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29744451973&partnerID=8YFLogxK

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 -

Counterexamples to the correlated stability conjecture

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this