Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Journal of High Energy Physics, Volume 2023, issue 12
Abstract
A construction of a gravity dual to a physical gauge theory requires confronting data. We establish a proof-of-concept for precision holography, i.e., the explicit reconstruction of the dual background metric functions directly from the entanglement entropy (EE) of strip subregions that we extract from pure glue Yang-Mills theory discretized on a lattice. Our main focus is on a three-dimensional Euclidean SU2 theory in the deconfining phase. Holographic EE suggests, and we find evidence for, that the scaling of the thermal entropy with temperature is to power 7/3 and that it approaches smoothly the critical point, consistent with black hole thermodynamics. In addition, we provide frugal results on the potential between quenched quarks by the computation of the Polyakov loop correlators on the lattice. Holographic arguments pique curiosity in the substratum of Debye screening at strong coupling.Description
Funding Information: We would like to thank Jacopo Ghiglieri, Marco Panero, and Javier G. Subils for useful discussions. N. J. is supported in part by the Academy of Finland grant. no 1322307, and A. S. and K. R. by the Academy of Finland grants 319066, 320123 and 345070. T. R. is supported in part by the Swiss National Science Foundation (SNSF) through the grants no. 200021_175761 and TMPFP2_210064. The authors wish to acknowledge CSC - IT Center for Science, Finland, for generous computational resources. Funding Information: We would like to thank Jacopo Ghiglieri, Marco Panero, and Javier G. Subils for useful discussions. N. J. is supported in part by the Academy of Finland grant. no 1322307, and A. S. and K. R. by the Academy of Finland grants 319066, 320123 and 345070. T. R. is supported in part by the Swiss National Science Foundation (SNSF) through the grants no. 200021_175761 and TMPFP2_210064. The authors wish to acknowledge CSC - IT Center for Science, Finland, for generous computational resources. Publisher Copyright: © 2023, The Author(s).
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Jokela, N, Rummukainen, K, Salami, A, Pönni, A & Rindlisbacher, T 2023, 'Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction', Journal of High Energy Physics, vol. 2023, no. 12, 137. https://doi.org/10.1007/JHEP12(2023)137