Published June 2018
| Submitted
Journal Article
Open
Exact bosonization in two spatial dimensions and a new class of lattice gauge theories
- Creators
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Chen, Yu-An
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Kapustin, Anton
- Radičević, Đorđe
Abstract
We describe a 2d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 2d lattice to a lattice gauge theory while preserving the locality of the Hamiltonian. When the space is simply-connected, this bosonization map is an equivalence. We describe several examples of 2d bosonization, including free fermions on square and honeycomb lattices and the Hubbard model. We describe Euclidean actions for the corresponding lattice gauge theories and find that they contain Chern–Simons-like terms. Finally, we write down a fermionic dual of the gauged Ising model (the Fradkin-Shenker model).
Additional Information
© 2018 Elsevier Inc. Received 1 March 2018, Accepted 30 March 2018, Available online 11 April 2018. A. K. would like to thank T. Senthil for a discussion. The research of A. K. and Y. C. was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number de-sc0011632. A. K. was also supported by the Simons Investigator Award. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development & Innovation.Attached Files
Submitted - 1711.00515.pdf
Files
1711.00515.pdf
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Additional details
- Eprint ID
- 85783
- Resolver ID
- CaltechAUTHORS:20180412-112218749
- DE-SC0011632
- Department of Energy (DOE)
- Simons Foundation
- Industry Canada
- Ontario Ministry of Economic Development and Innovation
- Created
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2018-04-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field