### Abstract

We study monotonicity and other properties of the canonical c-function (defined through the correlator of the energy-momentum tensor) in some holographic duals of 4-d quantum field theories. The canonical c-function and its derivatives are related to the 5d Green's function of the dual supergravity theory. While positivity of the canonical c-function is obvious, we have not found a general proof of its monotonicity, even though c is monotonic in the few explicit examples we examine in this Letter.

Original language | English (US) |
---|---|

Pages (from-to) | 285-294 |

Number of pages | 10 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 498 |

Issue number | 3-4 |

DOIs | |

State | Published - Jan 25 2001 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*498*(3-4), 285-294. https://doi.org/10.1016/S0370-2693(01)00004-1

**On the canonical c-function in 4-d field theories possessing supergravity duals.** / Porrati, M.; Starinets, A.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 498, no. 3-4, pp. 285-294. https://doi.org/10.1016/S0370-2693(01)00004-1

}

TY - JOUR

T1 - On the canonical c-function in 4-d field theories possessing supergravity duals

AU - Porrati, M.

AU - Starinets, A.

PY - 2001/1/25

Y1 - 2001/1/25

N2 - We study monotonicity and other properties of the canonical c-function (defined through the correlator of the energy-momentum tensor) in some holographic duals of 4-d quantum field theories. The canonical c-function and its derivatives are related to the 5d Green's function of the dual supergravity theory. While positivity of the canonical c-function is obvious, we have not found a general proof of its monotonicity, even though c is monotonic in the few explicit examples we examine in this Letter.

AB - We study monotonicity and other properties of the canonical c-function (defined through the correlator of the energy-momentum tensor) in some holographic duals of 4-d quantum field theories. The canonical c-function and its derivatives are related to the 5d Green's function of the dual supergravity theory. While positivity of the canonical c-function is obvious, we have not found a general proof of its monotonicity, even though c is monotonic in the few explicit examples we examine in this Letter.

UR - http://www.scopus.com/inward/record.url?scp=0035945577&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035945577&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(01)00004-1

DO - 10.1016/S0370-2693(01)00004-1

M3 - Article

AN - SCOPUS:0035945577

VL - 498

SP - 285

EP - 294

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -