5 papers
Log-Sobolev inequality for the sinh-Gordon model
Omar Abdelghani, Roland Bauerschmidt, Thierry Bodineau +1
For the sinh-Gordon model (without external mass term), we show that the log-Sobolev inequality holds uniformly in the lattice and volume regularisations for all parameters in the…
Mass gap for the hierarchical sinh-Gordon model
Omar Abdelghani, Roland Bauerschmidt, Michael Hofstetter +1
The (massless) sinh-Gordon model is defined in terms of a continuum massless Gaussian free field perturbed by a cosh interaction. For the hierarchical version of the model, we prov…
The Ding-Song-Sun inequality for a class of even ferromagnets
Omar Abdelghani, Roland Bauerschmidt, Thierry Bodineau +1
Ding-Song-Sun proved the remarkable correlation inequality that the truncated two-point correlation function of ferromagnetic Ising models with arbitrary mixed-sign external field…
Topological quantum walk in synthetic non-Abelian gauge fields
Zehai Pang, Omar Abdelghani, Marin Soljačić +1
We theoretically introduce synthetic non-Abelian gauge fields for topological quantum walks. The photonic mesh lattice configuration is generalized with polarization multiplexing t…
Geometric Derivation of the Finite Master Loop Equation
Omar Abdelghani, Ron Nissim
In this paper we provide a geometric derivation of the master loop equation for the lattice Yang-Mills model with structure group . This approach is ba…