43,065 research outputs found
Review of Lattice Supersymmetry and Gauge-Gravity Duality
We review the status of recent investigations on validating the gauge-gravity
duality conjecture through numerical simulations of strongly coupled maximally
supersymmetric thermal gauge theories. In the simplest setting, the
gauge-gravity duality connects systems of D0-branes and black hole geometries
at finite temperature to maximally supersymmetric gauged quantum mechanics at
the same temperature. Recent simulations show that non-perturbative gauge
theory results give excellent agreement with the quantum gravity predictions,
thus proving strong evidence for the validity of the duality conjecture and
more insight into quantum black holes and gravity.Comment: v2: Minor comments and references added. Invited review for the
International Journal of Modern Physics
The Jarzynski Identity and the AdS/CFT Duality
We point out a remarkable analogy between the Jarzynski identity from
non-equilibrium statistical physics and the AdS/CFT duality. We apply the logic
that leads to the Jarzynski identity to renormalization group (RG) flows of
quantum field theories and then argue for the natural connection with the
AdS/CFT duality formula. This application can be in principle checked in Monte
Carlo simulations of RG flows. Given the existing generalizations of the
Jarzynski identity in non-equilibrium statistical physics, and the analogy
between the Jarzynski identity and the AdS/CFT duality, we are led to suggest
natural but novel generalizations of the AdS/CFT dictionary.Comment: version to appear in Physics Letters
Gauge-gravity duality -- Super Yang Mills Quantum Mechanics
We describe the conjectured holographic duality between Yang-Mills quantum
mechanics and type IIa string theory. This duality allows us to use lattice
Monte Carlo simulations to probe the physics of the gravitational theory - for
example, at low energies it provides a computation of black hole entropy in
terms of a sum over microstates of the dual gauge theory. Numerical results are
presented of the 4 supercharge theory at finite temperatureComment: 7 pages, 6 figures, Talk at lattice 200
The sign problem and Abelian lattice duality
For a large class of Abelian lattice models with sign problems, including the
case of non-zero chemical potential, duality maps models with complex actions
into dual models with real actions. For extended regions of parameter space,
calculable for each model, duality resolves the sign problem for both analytic
methods and computer simulations. Explicit duality relations are given for
models for spin and gauge models based on Z(N) and U(1) symmetry groups. The
dual forms are generalizations of the Z(N) chiral clock model and the lattice
Frenkel-Kontorova model, respectively. From these equivalences, rich sets of
spatially-modulated phases are found in the strong-coupling region of the
original models.Comment: Latex, 7 pages, 1 figure. Presented at the 31st International
Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013,
Mainz, German
Noise-guided evolution within cyclical interactions
We study a stochastic predator-prey model on a square lattice, where each of
the six species has two superior and two inferior partners. The invasion
probabilities between species depend on the predator-prey pair and are
supplemented by Gaussian noise. Conditions are identified that warrant the
largest impact of noise on the evolutionary process, and the results of Monte
Carlo simulations are qualitatively reproduced by a four-point cluster
dynamical mean-field approximation. The observed noise-guided evolution is
deeply routed in short-range spatial correlations, which is supported by
simulations on other host lattice topologies. Our findings are conceptually
related to the coherence resonance phenomenon in dynamical systems via the
mechanism of threshold duality. We also show that the introduced concept of
noise-guided evolution via the exploitation of threshold duality is not limited
to predator-prey cyclical interactions, but may apply to models of evolutionary
game theory as well, thus indicating its applicability in several different
fields of research.Comment: to be published in New J. Phy
Model of the N-Quark Potential in SU(N) Gauge Theory using Gauge-String Duality
We use gauge-string duality to model the -quark potential in pure
Yang-Mills theories. For , the result agrees remarkably well with
lattice simulations. The model smoothly interpolates between almost the
-law at small distances and the Y-law at large distances.Comment: 5 pages, 4 figures; v2: improved discussion, references added; v3:
presentation improve
- …