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Title: 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.99.114507

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Cited by: 5 works
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