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arXiv · 2404.19414

Toward the application of large-$N$ deconfinement to SU(3) QCD

Hiromasa Watanabe
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Abstract

It is generally known for $\mathrm{U}(N)$ gauge theory at finite temperature that phase transitions are manifested by taking the large-$N$ limit. Since the large-$N$ theory undergoes two thermodynamic phase transitions, a nontrivial intermediate phase can be realized in addition to the phases classified as the conventional confined and deconfined phases. In this talk, we discuss that a similar picture can be applied to QCD with $N=3$. In particular, we analyze the gauge configurations of lattice QCD calculations involving dynamical quarks and show the results of an analysis of the deviation due to finite-temperature effects from the Haar randomness expected at zero temperature in $\mathrm{SU}(N)$ gauge theory, using physical pictures suggested by the large-$N$ theory.

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Hiromasa Watanabe. 2024-04-30. Toward the application of large-$N$ deconfinement to SU(3) QCD. https://arxiv.org/abs/2404.19414

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