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Forty-five years after the point de d\'epart [1] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, the precise form of...
Conformal field theories in anti-de Sitter space
Conformal field theories anti-de Sitter space
2010/12/24
In this paper we discuss the dynamics of conformal field theories on anti-de Sitter space, focussing on the special case of the N=4 supersymmetric Yang-Mills theory on AdS_4. We argue that the choice...
On the mass spectrum of noncommutative Schwinger model in R^2 space
mass spectrum noncommutative Schwinger model
2010/12/24
The mass spectrum of the noncommutative QED in two-dimensional Euclidean R^2 space is derived first in a perturbative approach at one-loop level and then in a nonperturbative approach using the equiv...
Free Fock space and functional calculus approach to the n-point information about the "Universe"
Free Fock space functional calculus the n-point information
2010/11/16
Starting from a differential equation for the unique field, the equation for the generating vector |V> of the n-point information (correlation and smeared functions) in the free Fock space is derived...
Phase space barriers and dividing surfaces in the absence of critical points of the potential energy
Phase space dividing surfaces critical points the potential energy
2010/11/12
We consider the existence of invariant manifolds in phase space governing reaction dynamics in situations where there are no saddle points on the potential energy surface in the relevant regions of co...
Recent research has revealed several different techniques for nanoscopic gas nucleation on submerged surfaces, with findings seemingly in contradiction with each other. In response to this, we have s...
In this Rapid Communication we investigate spatially constrained networks that realize optimal synchronization properties. After arguing that spatial constraints can be imposed by limiting the amount ...