Phases at finite winding number of an Abelian lattice gauge theory
Phases at finite winding number of an Abelian lattice gauge theory
Pure gauge theories are rather different from theories with pure scalar and fermionic matter, especially in terms of the nature of excitations. For example, in scalar and fermionic theories, one can create ultra-local excitations. For a gauge theory, such excitations need to be closed loops that do not violate gauge invariance. In this proceedings, we present a study on the condensation phenomenon associated with the string-like excitations of an Abelian lattice gauge theory. These phenomena are studied through numerical simulations of a U(1) quantum link model in 2+1 dimensions in a ladder geometry using matrix product states. In this proceeding we show the existence of ground states characterized by the presence of such string-like excitations. These are caused due to the condensation of torelons. We also study the relationship between the properties of the plaquettes in the ground state and the presence of such condensation phenomenon.
Stornati, Paolo
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Banerjee, Debasish
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Jansen, Karl
376aeeaf-a0a7-49a1-8c67-67ec1fe6c21b
Krah, Philipp
783f01c2-e483-4485-91f6-65e4d37b8540
8 July 2022
Stornati, Paolo
f9254f3a-eeca-4b52-a086-376f5d6516cc
Banerjee, Debasish
dcc5d706-d0ed-40b7-94f6-a4ddd7d41646
Jansen, Karl
376aeeaf-a0a7-49a1-8c67-67ec1fe6c21b
Krah, Philipp
783f01c2-e483-4485-91f6-65e4d37b8540
Stornati, Paolo, Banerjee, Debasish, Jansen, Karl and Krah, Philipp
(2022)
Phases at finite winding number of an Abelian lattice gauge theory.
In Proceedings of Science: The 38th International Symposium on Lattice Field Theory (LATTICE2021).
vol. 396,
Proceedings of Science.
8 pp
.
(doi:10.22323/1.396.0461).
Record type:
Conference or Workshop Item
(Paper)
Abstract
Pure gauge theories are rather different from theories with pure scalar and fermionic matter, especially in terms of the nature of excitations. For example, in scalar and fermionic theories, one can create ultra-local excitations. For a gauge theory, such excitations need to be closed loops that do not violate gauge invariance. In this proceedings, we present a study on the condensation phenomenon associated with the string-like excitations of an Abelian lattice gauge theory. These phenomena are studied through numerical simulations of a U(1) quantum link model in 2+1 dimensions in a ladder geometry using matrix product states. In this proceeding we show the existence of ground states characterized by the presence of such string-like excitations. These are caused due to the condensation of torelons. We also study the relationship between the properties of the plaquettes in the ground state and the presence of such condensation phenomenon.
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LATTICE2021_461
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e-pub ahead of print date: 16 May 2022
Published date: 8 July 2022
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Local EPrints ID: 500504
URI: http://eprints.soton.ac.uk/id/eprint/500504
PURE UUID: 076cab7a-465b-4c07-8772-170135453bc0
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Date deposited: 02 May 2025 16:34
Last modified: 22 Aug 2025 02:47
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Author:
Paolo Stornati
Author:
Debasish Banerjee
Author:
Karl Jansen
Author:
Philipp Krah
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