Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma
Physical Review Letters 87:8 (2001) 816011-816014
Abstract:
Conformal field theory was employed to compute the shear viscosity of strongly coupled supersymmetric Yang-Mills plasma. Relation of viscosity to the absorption cross-section of low-energy gravitons falling on a black brane was studied. The shear viscosity was found to be constant for a finite Hooft coupling limit.Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.
Phys Rev Lett 87:8 (2001) 081601
Abstract:
Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity eta of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find eta = pi / 8N(2)T3. We conjecture that for finite 't Hooft coupling g(2)(YM)N the shear viscosity is eta = f(g(2)(YM)N)N2T3, where f(x) is a monotonic function that decreases from O(x(-2)ln(-1)(1/x)) at small x to pi/8 when x-->infinity.Pathologies of the large- N limit for RPN-1 , CPN-1 , QPN-1 and mixed isovector/isotensor σ -models
Nuclear Physics B 601:3 (2001) 425-502
Abstract:
We compute the phase diagram in the N→∞ limit for lattice RPN-1, CPN-1 and QPN-1 σ-models with the quartic action, and more generally for mixed isovector/isotensor models. We show that the N=∞ limit exhibits phase transitions that are forbidden for any finite N. We clarify the origin of these pathologies by examining the exact solution of the one-dimensional model: we find that there are complex zeros of the partition function that tend to the real axis as N→∞. We conjecture the correct phase diagram for finite N as a function of the spatial dimension d. Along the way, we prove some new correlation inequalities for a class of N-component σ-models, and we obtain some new results concerning the complex zeros of confluent hypergeometric functions. © 2001 Elsevier Science B.V.On the canonical c-function in 4-d field theories possessing supergravity duals
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 498:3-4 (2001) 285-294
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. © 2001 Published by Elsevier Science B.V.RG fixed points in supergravity duals of 4-d field theory and asymptotically AdS spaces
Physics Letters B Elsevier 454:1-2 (1999) 77-83