Please read these instructions before posting any event on Fermilab Indico

Indico search will be reestablished in the next version upgrade of the software:


This search is only for public events. Restricted events are not available.


IMPORTANT! Indico has been upgraded. Please let us know as soon as possible if you find any issues and email

22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

Finite-size scaling of Polyakov's loop in the 2D Abelian Higgs model

Jul 25, 2018, 3:20 PM
Centennial (Kellogg Hotel and Conference Center)


Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Theoretical Developments Theoretical Developments


Judah Unmuth-Yockey (Syracuse University)


Starting with the 2D Abelian Higgs model with the quartic self-coupling taken infinitely large we study the finite-size scaling of the Polyakov loop. We find an exponential decay for large temporal extents which is dictated by the energy gap between the ground states of a system with the Polyakov loop inserted, and one without. We study this system using the tensor renormalization group, and we take the continuous-time limit to obtain a quantum Hamiltonian where gauge invariance has been maintained exactly. Comparing with numerical results from the density matrix renormalization group we find universal features of the finite-size scaling of the energy gap survive this continuous-time limit. We propose an optical-lattice ladder to quantum simulate this model, and observe the universal features of the energy gap scaling.

Primary authors

Jin Zhang (UC Riverside) Judah Unmuth-Yockey (Syracuse University)


Dr Alexei Bazavov (Michigan State University) Johannes Zeiher (Max-Planck-Institut fur Quantenoptik) Shan-Wen Tsai (UC Riverside) Yannick Meurice (U. of Iowa)

Presentation Materials