A new type of lattice gauge theory through self-adjoint extensions
A new type of lattice gauge theory through self-adjoint extensions
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 θ, and the ordinary Wilson theory is recovered for θ=0. We consider the case θ=π, 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 shows evidence of a broken Z2 symmetry in the continuum limit, in contrast to the ordinary theory.
Mariani, Alessandro
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Banerjee, Debasish
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Banerjee, Aditya
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Kanwar, Gurtej
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Rindlisbacher, Tobias
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Wiese, Uwe-Jens
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6 April 2023
Mariani, Alessandro
5b13ac98-dfac-41f1-8b27-4998c71fcf3d
Banerjee, Debasish
dcc5d706-d0ed-40b7-94f6-a4ddd7d41646
Banerjee, Aditya
8af3ecf3-5dee-4bc4-8dc0-8d1c632145af
Kanwar, Gurtej
e46e4365-be40-4262-9ed8-18703fa6eb98
Rindlisbacher, Tobias
b1c19abe-6772-428d-84f0-d2154a57b4d0
Wiese, Uwe-Jens
8eefe3bf-4b8a-4980-9d15-313982d40fe0
Mariani, Alessandro, Banerjee, Debasish, Banerjee, Aditya, Kanwar, Gurtej, Rindlisbacher, Tobias and Wiese, Uwe-Jens
(2023)
A new type of lattice gauge theory through self-adjoint extensions.
In Proceedings of Science: The 39th International Symposium on Lattice Field Theory (LATTICE2022).
vol. 430,
Proceedings of Science.
8 pp
.
(doi:10.22323/1.430.0377).
Record type:
Conference or Workshop Item
(Paper)
Abstract
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 θ, and the ordinary Wilson theory is recovered for θ=0. We consider the case θ=π, 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 shows evidence of a broken Z2 symmetry in the continuum limit, in contrast to the ordinary theory.
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LATTICE2022_377
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e-pub ahead of print date: 23 February 2023
Published date: 6 April 2023
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Local EPrints ID: 500513
URI: http://eprints.soton.ac.uk/id/eprint/500513
PURE UUID: 4774d606-4f1e-458c-981e-2398e15f00f0
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Date deposited: 02 May 2025 16:36
Last modified: 22 Aug 2025 02:47
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Contributors
Author:
Alessandro Mariani
Author:
Debasish Banerjee
Author:
Aditya Banerjee
Author:
Gurtej Kanwar
Author:
Tobias Rindlisbacher
Author:
Uwe-Jens Wiese
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