Approaching conformality with the Tensor Renormalization Group method

TL;DR

This paper explores the application of the Tensor Renormalization Group method to the O(2) model with a chemical potential, focusing on near-conformal regimes and recent advancements in truncation techniques.

Contribution

It introduces optimized truncation methods for TRG in near-gapless and conformal situations, enhancing the analysis of the O(2) model.

Findings

Analysis of entanglement entropy in the superfluid phase

Progress in optimized truncation techniques for TRG

Insights into near-conformal behavior of the model

Abstract

We discuss the Tensor Renormalization Group (TRG) method for the O(2) model with a chemical potential in 1+1 dimensions with emphasis on near gapless/conformal situations. We emphasize the role played by the late Leo Kadanoff in the development of this theoretical framework. We describe the entanglement entropy in the superfluid phase (see arXiv:1507.01471 for details). We present recent progress on optimized truncation methods.