Spin systems and phases of matter

Liste des Contributions

1. The two-lane exclusion process

Ellen Saada (MAP5, CNRS-Université Paris Cité)

04/06/2025 13:30

We consider the simple exclusion process on $\mathbb{Z}\times\{0,1\}$, that is, a “horizontal ladder” composed of 2 lanes, depending on 6 parameters. Particles can jump according to a lane-dependent translation-invariant nearest neighbour jump kernel, i.e. “horizontally” along each lane, and “vertically” along the scales of the ladder. We investigate the extremal invariant measures, then the...

2. Symmetry breaking in 3d QED

Pierluigi Niro (SISSA, Trieste)

04/06/2025 15:00

QED in 2+1 dimensions is among the simplest and yet very rich examples of strongly interacting gauge theories, arising in many physical contexts. When the number of electrons is large, the theory is known to flow to a symmetry-preserving interacting CFT at low energies, but there is evidence that this scenario is excluded below some critical value of the number of electrons. Focusing on the...

3. Ornstein—Zernike theory for the near-critical planar random cluster model

Lucas D'Alimonte (LPSM, Sorbonne Université)

04/06/2025 16:15

In this talk, we will discuss the classical Ornstein-Zernike theory for the random-cluster models (also known as FK percolation). In its modern form, it is a very robust theory, which most celebrated output is the computation of the asymptotically polynomial corrections to the pure exponential decay of the two-points correlation function of the random-cluster model in the subcritical regime....