Gauge-invariant rotor Hamiltonian from dual variables of 3D gauge theory
Abstract
We present a tensor formulation for free compact electrodynamics in three Euclidean dimensions and use this formulation to construct a quantum Hamiltonian in the continuous-time limit. Gauge-invariance is maintained at every step and ultimately the gauge fields are integrated out, removing all initial gauge freedom. The resulting Hamiltonian can be written as a rotor model. The energy eigenvalues for this Hamiltonian are computed using the tensor renormalization group, and are compared with perturbation theory. We find good agreement between the calculations, demonstrating a smooth passage from the statistical lattice Lagrangian description to the quantum Hamiltonian description.
- Authors:
- Publication Date:
- Research Org.:
- Syracuse Univ., NY (United States); Univ. of Iowa, Iowa City, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1506125
- Alternate Identifier(s):
- OSTI ID: 1611299
- Grant/Contract Number:
- SC0009998; SC0010113
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Quantum simulation; Duality; Tensor network renormalization
Citation Formats
Unmuth-Yockey, Judah F. Gauge-invariant rotor Hamiltonian from dual variables of 3D U ( 1 ) gauge theory. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.074502.
Unmuth-Yockey, Judah F. Gauge-invariant rotor Hamiltonian from dual variables of 3D U ( 1 ) gauge theory. United States. https://doi.org/10.1103/PhysRevD.99.074502
Unmuth-Yockey, Judah F. Tue .
"Gauge-invariant rotor Hamiltonian from dual variables of 3D U ( 1 ) gauge theory". United States. https://doi.org/10.1103/PhysRevD.99.074502.
@article{osti_1506125,
title = {Gauge-invariant rotor Hamiltonian from dual variables of 3D U ( 1 ) gauge theory},
author = {Unmuth-Yockey, Judah F.},
abstractNote = {We present a tensor formulation for free compact electrodynamics in three Euclidean dimensions and use this formulation to construct a quantum Hamiltonian in the continuous-time limit. Gauge-invariance is maintained at every step and ultimately the gauge fields are integrated out, removing all initial gauge freedom. The resulting Hamiltonian can be written as a rotor model. The energy eigenvalues for this Hamiltonian are computed using the tensor renormalization group, and are compared with perturbation theory. We find good agreement between the calculations, demonstrating a smooth passage from the statistical lattice Lagrangian description to the quantum Hamiltonian description.},
doi = {10.1103/PhysRevD.99.074502},
journal = {Physical Review D},
number = 7,
volume = 99,
place = {United States},
year = {Tue Apr 09 00:00:00 EDT 2019},
month = {Tue Apr 09 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/PhysRevD.99.074502
https://doi.org/10.1103/PhysRevD.99.074502
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Cited by: 27 works
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