Tue·Oct 19, 2021Tuesday·October 19, 2021

1. 01*

   Relativistic-invariant formulation of the NREFT three-particle quantization condition

   Fabian Müller🇩🇪 · Jin-Yi Pang🇨🇳 · Akaki Rusetsky🇩🇪 · Jia-Jun Wu🇨🇳

   A three-particle quantization condition on the lattice is written down in a manifestly relativistic-invariant form by using a generalization of the non-relativistic effective field theory (NREFT) approach. Inclusion of the higher partial waves is explicitly addressed. A partial diagonalization of the quantization condition into the various irreducible representations of the (little groups of the) octahedral group has been carried out both in the center-of-mass frame and in moving frames. Furthermore, producing synthetic data in a toy model, the relativistic invariance is explicitly demonstrated for the three-body bound state spectrum.

   hep-latJHEP(2022)·59 citations
2. 02*

   Effective ${\mathbb{Z}}_3$ model for finite-density QCD with tensor networks

   Jacques Bloch🇩🇪 · Robert Lohmayer🇩🇪 · Sophia Schweiss🇩🇪 · Judah Unmuth-Yockey🇺🇸

   The tensor renormalization group is a promising numerical method used to study lattice statistical field theories. However, this approach is computationally expensive in 2+1 and 3+1 dimensions. Here we use tensor renormalization group methods to study an effective three-dimensional ${\mathbb{Z}}_3$ model for the heavy-quark, high-temperature, strong-coupling limit of single-flavor 3+1 dimensional quantum chromodynamics. Our results are cross-checked using the worm Monte Carlo algorithm. We present the phase diagram of the model through the measurement of the Polyakov loop, the nearest-neighbor Polyakov loop correlator, and their susceptibilities. The tensor renormalization group results are in good agreement with the literature

   hep-latPoS(2022)·4 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.