Crystalline confinement

D. Banerjee, P. Widmer, F. -J. Jiang, U. J. Wiese

Research output: Contribution to journalConference article

Abstract

We show that exotic phases arise in generalized lattice gauge theories known as quantum link models in which classical gauge fields are replaced by quantum operators. While these quantum models with discrete variables have a finite-dimensional Hilbert space per link, the continuous gauge symmetry is still exact. An efficient cluster algorithm is used to study these exotic phases. The (2+1)-d system is confining at zero temperature with a spontaneously broken translation symmetry. A crystalline phase exhibits confinement via multi-stranded strings between chargeanti- charge pairs. A phase transition between two distinct confined phases is weakly first order and has an emergent spontaneously broken approximate SO(2) global symmetry. The low-energy physics is described by a (2 + 1)-d RP(1) effective field theory, perturbed by a dangerously irrelevant SO(2) breaking operator, which prevents the interpretation of the emergent pseudo- Goldstone boson as a dual photon. This model is an ideal candidate to be implemented in quantum simulators to study phenomena that are not accessible using Monte Carlo simulations such as the real- Time evolution of the confining string and the real- Time dynamics of the pseudo-Goldstone boson.

Original languageEnglish
Article number333
JournalProceedings of Science
Volume29-July-2013
Publication statusPublished - 2013 Jan 1
Event31st International Symposium on Lattice Field Theory, LATTICE 2013 - Mainz, Germany
Duration: 2013 Jul 292013 Aug 3

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confining
symmetry
strings
bosons
operators
Hilbert space
simulators
gauge theory
physics
photons
simulation
temperature
energy

ASJC Scopus subject areas

  • General

Cite this

Banerjee, D., Widmer, P., Jiang, F. -J., & Wiese, U. J. (2013). Crystalline confinement. Proceedings of Science, 29-July-2013, [333].

Crystalline confinement. / Banerjee, D.; Widmer, P.; Jiang, F. -J.; Wiese, U. J.

In: Proceedings of Science, Vol. 29-July-2013, 333, 01.01.2013.

Research output: Contribution to journalConference article

Banerjee, D, Widmer, P, Jiang, F-J & Wiese, UJ 2013, 'Crystalline confinement', Proceedings of Science, vol. 29-July-2013, 333.
Banerjee D, Widmer P, Jiang F-J, Wiese UJ. Crystalline confinement. Proceedings of Science. 2013 Jan 1;29-July-2013. 333.
Banerjee, D. ; Widmer, P. ; Jiang, F. -J. ; Wiese, U. J. / Crystalline confinement. In: Proceedings of Science. 2013 ; Vol. 29-July-2013.
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