Mariani, A.; Banerjee, D.; Banerjee, A.; Kanwar, G.; Rindlisbacher, T.; Wiese, U. J. (2022). A new type of lattice gauge theory through self-adjoint extensions. In: The 39th International Symposium on Lattice Field Theory 430. Trieste, Italy: Sissa Medialab 10.22323/1.430.0377
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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.
Item Type: |
Conference or Workshop Item (Paper) |
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Division/Institute: |
08 Faculty of Science > Institute of Theoretical Physics 10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) |
UniBE Contributor: |
Mariani, Alessandro, Kanwar, Gurtej Singh, Rindlisbacher, Tobias, Wiese, Uwe-Jens |
Subjects: |
500 Science > 530 Physics |
Publisher: |
Sissa Medialab |
Language: |
English |
Submitter: |
Franziska Stämpfli |
Date Deposited: |
01 Dec 2023 10:46 |
Last Modified: |
01 Dec 2023 10:46 |
Publisher DOI: |
10.22323/1.430.0377 |
BORIS DOI: |
10.48350/189377 |
URI: |
https://boris.unibe.ch/id/eprint/189377 |
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