Speaker
Mr
Daniel Goeschl
(University of Graz)
Description
We investigate the phase structure of the 2-d U(1) gauge-Higgs model at non-vanishing topological angle $\theta$. The sign problem arising from the topological term is avoided by invoking a dual representation of the gauge-Higgs model. This allows us to observe a 1st order transition in the topological charge at the symmetrical point $\theta=\pi$. By using the Villain action to discretize the gauge field dynamics, we implement the corresponding symmetry as an exact $Z_2$ symmetry of the dual variables.
We perform simulations to determine the critical endpoint of this transition as a function of the mass parameter and, using FSS techniques, show that it falls into the universality class of the 2-d Ising model.
Primary author
Mr
Daniel Goeschl
(University of Graz)
Co-authors
Prof.
Christof Gattringer
(University of Graz)
Dr
Sulejmanpasic Tin
(ENS Paris)