Tensor renormalization group study of the non-Abelian Higgs model in two dimensions

Alexei Bazavov; Simon Catterall; Raghav G. Jha; Judah Unmuth-Yockey

doi:10.1103/PhysRevD.99.114507

Tensor renormalization group study of the non-Abelian Higgs model in two dimensions

Alexei Bazavov, Simon Catterall, Raghav G. Jha, Judah Unmuth-Yockey

Department of Physics

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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.

Original language	English (US)
Article number	114507
Journal	Physical Review D
Volume	99
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevD.99.114507
State	Published - Jun 24 2019

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.99.114507

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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.",

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N2 - 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.

AB - 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.

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Tensor renormalization group study of the non-Abelian Higgs model in two dimensions

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