Tensor renormalization group study of the non-Abelian Higgs model in two dimensions
Abstract
We study the SU(2) gauge-Higgs model in two Euclidean dimensions using the tensor renormalization group (TRG) approach. We derive a tensor formulation for this model in the unitary gauge and compare the expectation values of different observables between TRG and Monte Carlo simulations finding excellent agreement between the two methods. In practice we find the TRG method to be far superior to Monte Carlo simulation for calculations of the Polyakov loop correlation function which is used to extract the static quark potential.
- 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:
- 1529044
- Alternate Identifier(s):
- OSTI ID: 1611302
- Grant/Contract Number:
- SC0009998; SC0019139
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 11; 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; Non-Abelian gauge theories; Duality; Lattice gauge theory; Tensor network renormalization
Citation Formats
Bazavov, Alexei, Catterall, Simon, Jha, Raghav G., and Unmuth-Yockey, Judah. Tensor renormalization group study of the non-Abelian Higgs model in two dimensions. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.114507.
Bazavov, Alexei, Catterall, Simon, Jha, Raghav G., & Unmuth-Yockey, Judah. Tensor renormalization group study of the non-Abelian Higgs model in two dimensions. United States. https://doi.org/10.1103/PhysRevD.99.114507
Bazavov, Alexei, Catterall, Simon, Jha, Raghav G., and Unmuth-Yockey, Judah. Mon .
"Tensor renormalization group study of the non-Abelian Higgs model in two dimensions". United States. https://doi.org/10.1103/PhysRevD.99.114507.
@article{osti_1529044,
title = {Tensor renormalization group study of the non-Abelian Higgs model in two dimensions},
author = {Bazavov, Alexei and Catterall, Simon and Jha, Raghav G. and Unmuth-Yockey, Judah},
abstractNote = {We study the SU(2) gauge-Higgs model in two Euclidean dimensions using the tensor renormalization group (TRG) approach. We derive a tensor formulation for this model in the unitary gauge and compare the expectation values of different observables between TRG and Monte Carlo simulations finding excellent agreement between the two methods. In practice we find the TRG method to be far superior to Monte Carlo simulation for calculations of the Polyakov loop correlation function which is used to extract the static quark potential.},
doi = {10.1103/PhysRevD.99.114507},
journal = {Physical Review D},
number = 11,
volume = 99,
place = {United States},
year = {2019},
month = {6}
}
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https://doi.org/10.1103/PhysRevD.99.114507
https://doi.org/10.1103/PhysRevD.99.114507
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