Approaching conformality with the Tensor Renormalization Group method

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.

Submitted as PoS(LATTICE 2015)285. Talk given by Yannick Meurice at the The 33rd International Symposium on Lattice Field Theory, 14 -18 July 2015, Kobe, Japan. Latex with 7 pages and 9 figures

References in corpus (6)

• Gauge-invariant implementation of the Abelian Higgs model on optical lattices
• Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
• Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential
• The fine structure of the entanglement entropy in the classical XY model
• Nonlinear sigma models at nonzero chemical potential: breaking up instantons and the phase diagram
• Tensor renormalization group analysis of $\mathrm{CP}(N-1)$ model in two dimensions