Precision study of the massive Schwinger model near quantum criticality

Fuente: arXiv
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Autores principales: Cruz, Erick Arguello, Tarnopolsky, Grigory, Xin, Yuan
Formato: Preprint
Publicado: 2024
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author Cruz, Erick Arguello
Tarnopolsky, Grigory
Xin, Yuan
author_facet Cruz, Erick Arguello
Tarnopolsky, Grigory
Xin, Yuan
contents We perform a numerical analysis of the massive Schwinger model in the presence of a background electric field. Using the Density Matrix Renormalization Group (DMRG) approach, we efficiently compute the spectrum of the Schwinger model on a staggered lattice with up to 3000 qubits. As a result, we achieve a precise computation of the critical mass of the massive Schwinger model to five digits using four different 'criticality criteria', observing perfect agreement among them. Additionally, we discuss the effect of a four-fermion operator deformation of the Schwinger model and compute the critical mass for various values of the deformation parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2412_01902
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Precision study of the massive Schwinger model near quantum criticality
Cruz, Erick Arguello
Tarnopolsky, Grigory
Xin, Yuan
High Energy Physics - Theory
Strongly Correlated Electrons
High Energy Physics - Lattice
We perform a numerical analysis of the massive Schwinger model in the presence of a background electric field. Using the Density Matrix Renormalization Group (DMRG) approach, we efficiently compute the spectrum of the Schwinger model on a staggered lattice with up to 3000 qubits. As a result, we achieve a precise computation of the critical mass of the massive Schwinger model to five digits using four different 'criticality criteria', observing perfect agreement among them. Additionally, we discuss the effect of a four-fermion operator deformation of the Schwinger model and compute the critical mass for various values of the deformation parameter.
title Precision study of the massive Schwinger model near quantum criticality
topic High Energy Physics - Theory
Strongly Correlated Electrons
High Energy Physics - Lattice
url https://arxiv.org/abs/2412.01902