Finite-temperature phase diagram of the BMN matrix model on the lattice
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| Format: | Preprint |
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2024
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| _version_ | 1866915306770792448 |
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| author | Jha, Raghav G. Joseph, Anosh Schaich, David |
| author_facet | Jha, Raghav G. Joseph, Anosh Schaich, David |
| contents | We investigate the thermal phase structure of the Berenstein--Maldacena--Nastase (BMN) matrix model using non-perturbative lattice Monte Carlo calculations. Our main analyses span three orders of magnitude in the coupling, involving systems with sizes up to $N_τ = 24$ lattice sites and SU($N$) gauge groups with $8 \leq N \leq 16$. In addition, we carry out extended checks of discretization artifacts for $N_τ \leq 128$ and gauge group SU(4). We find results for the deconfinement temperature that interpolate between the perturbative prediction at weak coupling and the large-$N$ dual supergravity calculation at strong coupling. While we confirm that the phase transition is first order for strong coupling, it appears to be continuous for weaker couplings. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_13407 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite-temperature phase diagram of the BMN matrix model on the lattice Jha, Raghav G. Joseph, Anosh Schaich, David High Energy Physics - Lattice High Energy Physics - Theory We investigate the thermal phase structure of the Berenstein--Maldacena--Nastase (BMN) matrix model using non-perturbative lattice Monte Carlo calculations. Our main analyses span three orders of magnitude in the coupling, involving systems with sizes up to $N_τ = 24$ lattice sites and SU($N$) gauge groups with $8 \leq N \leq 16$. In addition, we carry out extended checks of discretization artifacts for $N_τ \leq 128$ and gauge group SU(4). We find results for the deconfinement temperature that interpolate between the perturbative prediction at weak coupling and the large-$N$ dual supergravity calculation at strong coupling. While we confirm that the phase transition is first order for strong coupling, it appears to be continuous for weaker couplings. |
| title | Finite-temperature phase diagram of the BMN matrix model on the lattice |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.13407 |