Roy, K and Konig, EJ (2024) ZN lattice gauge theories with matter fields. In: Physical Review B, 109 (19).
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Abstract
Motivated by the exotic phenomenology of certain quantum materials and recent advances in programmable quantum emulators, we here study fermions and bosons in ZN lattice gauge theories. We introduce a family of exactly soluble models, and characterize their orthogonal (semi)metallic ground states, the excitation spectrum, and the correlation functions. We further study integrability-breaking perturbations using an appropriately derived set of Feynman diagrammatic rules and borrowing physics associated to Anderson's orthogonality catastrophe. In the context of the ground states, we revisit Luttinger's theorem following Oshikawa's flux insertion argument and furthermore demonstrate the existence of a Luttinger surface of zeros in the fermionic Green's function. Upon inclusion of perturbations, we address the transition from the orthogonal metal to the normal state by condensation of certain excitations in the gauge sectors, so-called "e particles."We furthermore discuss the effect of dynamics in the dual "m-particle"excitations, which ultimately leads to the formation of charge-neutral hadronic N-particle bound states. We present analytical arguments for the most important phases and estimates for phase boundaries of the model. Specifically, and in sharp distinction to quasi-one-dimensional ZN lattice gauge theories, renormalization group arguments imply that the phase diagram does not include an emergent deconfining U(1) phase in the limit of large number of fermion flavors. Therefore, in regards to lattice QED problems, ZN quantum emulators with N<� can at best be used for approximate solutions at intermediate length scales. © 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by Max Planck Society.
| Item Type: | Journal Article |
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| Publication: | Physical Review B |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to author. |
| Keywords: | Ground state; Group theory; Lattice theory; Orthogonal functions; Quantum theory; Statistical mechanics, Andersons; Breakings; Correlation function; Excitation spectrum; Integrability; Lattice gauge theory; Matter field; Metallic ground state; Orthogonality; Soluble models, Gages |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 29 May 2024 07:23 |
| Last Modified: | 29 May 2024 07:23 |
| URI: | https://eprints.iisc.ac.in/id/eprint/85020 |
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