English

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

High Energy Physics - Lattice 2019-06-27 v1 Other Condensed Matter

Abstract

We study the SU(2)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.

Keywords

Cite

@article{arxiv.1901.11443,
  title  = {Tensor renormalization group study of the non-Abelian Higgs model in two dimensions},
  author = {Alexei Bazavov and Simon Catterall and Raghav G. Jha and Judah Unmuth-Yockey},
  journal= {arXiv preprint arXiv:1901.11443},
  year   = {2019}
}

Comments

11 pages, 11 figures