Study of a lattice 2-group gauge model

27 Jul 2021, 05:15
15m
Oral presentation Theoretical developments and applications beyond particle physics Theoretical developments and applications beyond particle physics

Speakers

Piotr Korcyl (Jagiellonian University & University Regensburg) Piotr Korcyl (Jagiellonian University & University Regensburg)

Description

In this talk, I discuss a simple model based on the symmetry group $Z_2$ belonging to the class of 2-group gauge systems. Particular limits of such systems correspond to certain types of topological quantum field theories. In the selected model, independent degrees of freedom are associated to both links and faces of a four-dimensional lattice and are subject to a certain constraint. I present the details of this construction, discuss the expected dynamics in different regions of phase space and show numerical results from Monte Carlo simulations confirming these expectations.

Primary authors

Mr Arkadiusz Bochniak (Jagiellonian University) Dr Leszek Hadasz (Jagiellonian University) Piotr Korcyl (Jagiellonian University & University Regensburg) Mr Błażej Ruba (Jagiellonan University)

Presentation materials