PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Thermal phase structure of dimensionally reduced super-Yang--Mills
D. Schaich*, R.G. Jha and A. Joseph
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Pre-published on: May 16, 2022
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We present our current results from ongoing lattice investigations of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. We focus on the thermal phase structure of this theory, which depends on both the temperature $T$ and the deformation parameter $\mu$, through the dimensionless ratios $T / \mu$ and $g = \lambda / \mu^3$ with $\lambda$ the 't~Hooft coupling. We determine the critical $T / \mu$ of the confinement transition for couplings $g$ that span three orders of magnitude, to connect weak-coupling perturbative calculations and large-$N$ dual supergravity predictions in the strong-coupling limit. Analyzing multiple lattice sizes up to $N_{\tau} = 24$ and numbers of colors up to $N = 16$ allows initial checks of the large-$N$ continuum limit.
DOI: https://doi.org/10.22323/1.396.0187
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