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Antide Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories
 Adv. Theor. Math. Phys
, 1998
"... The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenome ..."
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Cited by 1083 (3 self)
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The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale “holographically ” with the volume of its horizon. By similar methods, one can also make a speculative proposal for the description of large N gauge theories in four dimensions without supersymmetry. March
PHASE TRANSITIONS
"... X.1. The ferromagnetic continuous phase transition. The Weiss ’ model of the ferromagnetism. A number of physico–chemical systems, which undergo phase transitions, can be represented, to varying degrees of accuracy, by an array of lattice sites. For instance, a solid crystal has been discussed in so ..."
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X.1. The ferromagnetic continuous phase transition. The Weiss ’ model of the ferromagnetism. A number of physico–chemical systems, which undergo phase transitions, can be represented, to varying degrees of accuracy, by an array of lattice sites. For instance, a solid crystal has been discussed
PHASE TRANSITION
, 2000
"... A rapid second order phase transition can have a significant probability of producing a metastable state instead of the equilibrium state. We consider the case of rapid BoseEinstein condensation in a toroidal trap resulting in a spontaneous superfluid current, and compare the phenomenological time ..."
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Cited by 3 (0 self)
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A rapid second order phase transition can have a significant probability of producing a metastable state instead of the equilibrium state. We consider the case of rapid BoseEinstein condensation in a toroidal trap resulting in a spontaneous superfluid current, and compare the phenomenological time
The phase transition in inhomogeneous random graphs
, 2005
"... The ‘classical’ random graph models, in particular G(n, p), are ‘homogeneous’, in the sense that the degrees (for example) tend to be concentrated around a typical value. Many graphs arising in the real world do not have this property, having, for example, powerlaw degree distributions. Thus there ..."
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Cited by 179 (29 self)
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there has been a lot of recent interest in defining and studying ‘inhomogeneous ’ random graph models. One of the most studied properties of these new models is their ‘robustness’, or, equivalently, the ‘phase transition ’ as an edge density parameter is varied. For G(n, p), p = c/n, the phase transition
PHASE TRANSITION
, 1997
"... Light stops can give a strong first order electroweak phase transition in the Minimal Supersymmetric Standard Model (MSSM) satisfying one of the necessary conditions for electroweak baryogenesis. I discuss the region of parameter space where this occurs using a perturbative analysis of the Higgs eff ..."
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Light stops can give a strong first order electroweak phase transition in the Minimal Supersymmetric Standard Model (MSSM) satisfying one of the necessary conditions for electroweak baryogenesis. I discuss the region of parameter space where this occurs using a perturbative analysis of the Higgs
On phase transition in . . .
"... It is shown that the hardcore model on Z d exhibits a phase transition at activities above some function λ(d) which tends to zero as d → ∞; that is: Consider the usual nearest neighbor graph on Z d, and write E and O for the sets of even and odd vertices (defined in the obvious way). Set ΛM = Λ d M ..."
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Cited by 1 (0 self)
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It is shown that the hardcore model on Z d exhibits a phase transition at activities above some function λ(d) which tends to zero as d → ∞; that is: Consider the usual nearest neighbor graph on Z d, and write E and O for the sets of even and odd vertices (defined in the obvious way). Set ΛM = Λ d
The SAT Phase Transition
, 1994
"... : We describe a detailed experimental investigation of the phase transition for several different classes of randomly generated satisfiability problems. We observe a remarkable consistency of features in the phase transition despite the presence in some of the problem classes of clauses of mixed len ..."
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Cited by 68 (8 self)
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: We describe a detailed experimental investigation of the phase transition for several different classes of randomly generated satisfiability problems. We observe a remarkable consistency of features in the phase transition despite the presence in some of the problem classes of clauses of mixed
The TSP Phase Transition
 Artificial Intelligence
, 1996
"... We wish to bring to the attention of the OR community the phenomenon of phase transitions in randomly generated problems. These are of considerable practical use for benchmarking algorithms. They also offer insight into problem hardness and algorithm performance. Whilst phase transition experiments ..."
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Cited by 78 (13 self)
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We wish to bring to the attention of the OR community the phenomenon of phase transitions in randomly generated problems. These are of considerable practical use for benchmarking algorithms. They also offer insight into problem hardness and algorithm performance. Whilst phase transition experiments
Results 1  10
of
887,919