Speaker
Alessandro Mariani
(University of Bern)
Description
A generalization of Wilsonian lattice gauge theory may be obtained by considering the possible self-adjoint extensions of the electric field operator in the Hamiltonian formalism. In the special case of $3D$ $U(1)$ gauge theory these are parametrised by a phase $\theta$, and the ordinary Wilson theory is recovered for $\theta=0$. We consider the case $\theta=\pi$, which, upon dualization, turns into a theory of staggered integer and half-integer height variables. We investigate order parameters for the breaking of the relevant symmetries, and thus study the phase diagram of the theory, which could reveal a new universality class of $3D$ Abelian gauge theories with a broken $\mathbb{Z}_2$ symmetry absent in the ordinary theory.
Primary authors
Alessandro Mariani
(University of Bern)
Gurtej Kanwar
(University of Bern)
Tobias Rindlisbacher
(AEC, Institute for Theoretical Physics, University of Bern)
Uwe-Jens Wiese
(University of Bern, Switzerland)
Prof.
Debasish Banerjee
(Saha Institute of Nuclear Physics)
Dr
Aditya Banerjee
(Saha Institute of Nuclear Physics)
