## 24 Citations

### Where is the confining string in random percolation

- Physics
- 2006

The percolating phase of whatever random percolation process resembles the confining vacuum of a gauge theory in most respects, with a string tension having a well-behaved continuum limit, a non…

### The confining string beyond the free-string approximation in the gauge dual of percolation

- Physics
- 2009

We simulate five different systems belonging to the universality class of the gauge dual of three-dimensional random percolation to study the underlying effective string theory at finite temperature.…

### Casimir scaling and renormalization of Polyakov loops in large-N gauge theories

- Physics
- 2012

A bstractWe study Casimir scaling and renormalization properties of Polyakov loops in different irreducible representations in SU(N ) gauge theories; in particular, we investigate the approach to the…

### Percolation transition in Yang-Mills matter at a finite number of colors.

- PhysicsPhysical review letters
- 2011

This work examines baryonic matter at a quark chemical potential of the order of the confinement scale μ(q)∼Λ(QCD), and shows that this system will exhibit a percolation phase transition when varied in the number of colors N(c), suggesting a new "phase transition" for dense nuclear matter.

### Applications of lattice field theory to large N and technicolor

- Physics
- 2012

In this thesis we use lattice field theory to study different frontier problems in strongly coupled non-Abelian gauge theories, focusing on large-N models and walking technicolor theories.…

### K-string tensions at finite temperature and integrable models

- Physics
- 2007

It has recently been pointed out that simple scaling properties of Polyakov correlation functions of gauge systems in the confining phase suggest that the ratios of k-string tensions in the low…

### 4-dimensional layer phase as a gauge field localization: Extensive study of the 5-dimensional anisotropic U(1) gauge model on the lattice

- Physics
- 2006

We study a 4+1 dimensional pure Abelian Gauge model on the lattice with two anisotropic couplings independent of each other and of the coordinates. A first exploration of the phase diagram using mean…

## References

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### Scaling and Renormalization in Statistical Physics

- Physics
- 1996

This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. Beginning with a brief review of phase transitions in simple systems and of mean field theory,…

### Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition

- Physics
- 2000

By fixing lattice Yang-Mills configurations to the maximal center gauge and subsequently applying the technique of center projection, one can identify center vortices in these configurations.…

### Efficient Monte Carlo algorithm and high-precision results for percolation.

- MathematicsPhysical review letters
- 2000

A new Monte Carlo algorithm is presented that is able to calculate quantities such as the cluster size distribution or spanning probability over the entire range of site or bond occupation probabilities from zero to one in a single run which takes an amount of time scaling linearly with the number of sites on the lattice.

### Introduction To Percolation Theory

- Physics
- 1985

Preface to the Second Edition Preface to the First Edition Introduction: Forest Fires, Fractal Oil Fields, and Diffusion What is percolation? Forest fires Oil fields and fractals Diffusion in…

### SURFACE TENSION IN POTTS MODELS AND PERCOLATION

- Physics
- 1985

The Kasteleyn-Fortuin relation (1969) is used to give a simple proof for the s-state Potts model of the relation beta sigma xi =1 between the correlation length in a particular direction on a planar…