Improved Actions using The Renormalization Group

Fuente: arXiv
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Hauptverfasser: Segall, Guy, Gazit, Snir, Podolsky, Daniel
Format: Preprint
Veröffentlicht: 2024
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author Segall, Guy
Gazit, Snir
Podolsky, Daniel
author_facet Segall, Guy
Gazit, Snir
Podolsky, Daniel
contents We introduce a numerical method to study critical properties near classical and quantum phase transitions. Our method applies ideas of the Tensor Renormalization Group to obtain an improved action which is used to extract critical properties by performing Monte Carlo simulations on relatively small system sizes. We demonstrate this method on the XY model in three dimensions. Our method may provide a framework with which to efficiently study universal properties in a large class of phase transitions.
format Preprint
id arxiv_https___arxiv_org_abs_2408_06414
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Improved Actions using The Renormalization Group
Segall, Guy
Gazit, Snir
Podolsky, Daniel
Statistical Mechanics
Strongly Correlated Electrons
We introduce a numerical method to study critical properties near classical and quantum phase transitions. Our method applies ideas of the Tensor Renormalization Group to obtain an improved action which is used to extract critical properties by performing Monte Carlo simulations on relatively small system sizes. We demonstrate this method on the XY model in three dimensions. Our method may provide a framework with which to efficiently study universal properties in a large class of phase transitions.
title Improved Actions using The Renormalization Group
topic Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2408.06414