English

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

High Energy Physics - Theory 2024-05-01 v1 High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory

Abstract

It is generally known for U(N)\mathrm{U}(N) gauge theory at finite temperature that phase transitions are manifested by taking the large-NN limit. Since the large-NN 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=3N=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 SU(N)\mathrm{SU}(N) gauge theory, using physical pictures suggested by the large-NN theory.

Keywords

Cite

@article{arxiv.2404.19414,
  title  = {Toward the application of large-$N$ deconfinement to SU(3) QCD},
  author = {Hiromasa Watanabe},
  journal= {arXiv preprint arXiv:2404.19414},
  year   = {2024}
}

Comments

14 pages, 5 figures, Contribution to the proceedings of "Workshop on Noncommutative and Generalized Geometry in String Theory, Gauge Theory and Related Physical Models" in the Corfu Summer Institute 2023, 18 - 25 September 2023, Corfu, Greece, based on arXiv:2310.01940 [hep-th] and arXiv:2310.07533 [hep-th]