TY - JOUR
T1 - On the canonical c-function in 4-d field theories possessing supergravity duals
AU - Porrati, M.
AU - Starinets, A.
N1 - Funding Information:
M.P. is supported in part by NSF grants no. PHY-9722083 and PHY-0070787.
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.
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U2 - 10.1016/S0370-2693(01)00004-1
DO - 10.1016/S0370-2693(01)00004-1
M3 - Article
AN - SCOPUS:0035945577
SN - 0370-2693
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
IS - 3-4
ER -