Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction

• DOI: 10.1007/jhep12(2023)137
• Publication Date: 2023-12-27T21:28:33Z
• Authors: Niko Jokela; Kari Rummukainen; Ahmed Salami; Arttu Pönni; Tobias Rindlisbacher
• Keywords: Wilson loop; Deconfinement; Lattice (music); Yang–Mills theory; Scaling dimension

A bstract construction of a gravity dual to physical gauge theory requires confronting data. We establish proof-of-concept for precision holography, i.e., the explicit reconstruction background metric functions directly from entanglement entropy (EE) strip subregions that we extract pure glue Yang-Mills discretized on lattice. Our main focus is three-dimensional Euclidean SU2 in deconfining phase. Holographic EE suggests, and find evidence for, scaling thermal with temperature power 7/3 it approaches smoothly critical point, consistent black hole thermodynamics. In addition, provide frugal results potential between quenched quarks by computation Polyakov loop correlators arguments pique curiosity substratum Debye screening at strong coupling.