Schwinger model on a half-line

On the Half-line

We study uniform error estimates of operational quadrature methods for nonlinear convolution equations on the half-line. Equations of this kind arise in control engineering and diffusion problems. The essential ingredients are the stability of the operational quadrature method in an L setting, which is inherited from the continuous equation by its very construction, and a theorem that says that...

Confinement and screening of the Schwinger model on the Poincare half plane

We discuss the confining features of the Schwinger model on the Poincare half plane. We show that despite the fact that the expectation value of the large Wilson loop of massless Schwinger model displays the perimeter behavior, the system can be in confining phase due to the singularity of the metric at horizontal axis. It is also shown that in the quenched Schwinger model, the area dependence ...

Benjamin-Ono Equation on a Half-Line

On the Schwinger Model on Riemann Surfaces

In this paper the Schwinger model or two dimensional quantum electrodynamics is exactly solved on a Riemann surface providing the explicit expression of the partition function and of the generating functional of the amplitudes between the fermionic currents. This offers one of the few examples, if not the only one, in which it is possible to integrate in an explicit way a gauge field theory int...

Existence of solutions for a variational inequality on the half-line

 ‎In this paper we study the existence of nontrivial‎ solutions for a variational inequality on the half-line‎. ‎Our‎ ‎approach is based on the non-smooth critical point theory‎ ‎for Szulkin-type functionals.