2019年6月3日

# Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau--Ginzburg model

PTEP
• Okuto Morikawa

2019
10

103B03

DOI
10.1093/ptep/ptz107

The $\mathcal{N}=2$ Landau--Ginzburg description provides a strongly
interacting Lagrangian realization of an $\mathcal{N}=2$ superconformal field
theory. It is conjectured that one such example is given by the two-dimensional
$\mathcal{N}=2$ Wess--Zumino model. Recently, the conjectured correspondence
has been studied by using numerical techniques based on lattice field theory;
the scaling dimension and the central charge have been directly measured. We
study a single superfield with a cubic superpotential, and give an
extrapolation method to the continuum limit. Then, on the basis of a
supersymmetric-invariant numerical algorithm, we perform a precision
measurement of the scaling dimension through a finite-size scaling analysis.

リンク情報
DOI
https://doi.org/10.1093/ptep/ptz107
arXiv
http://arxiv.org/abs/arXiv:1906.00653
Arxiv Url
http://arxiv.org/abs/1906.00653v2
Arxiv Url
http://arxiv.org/pdf/1906.00653v2 本文へのリンクあり