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

Watanabe, Hiromasa

doi:10.22323/1.463.0259

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

Hiromasa Watanabe
(
- Kyoto U., Yukawa Inst., Kyoto and
- Tokyo U., ICEPP and
- Tokyo U.
)

Apr 30, 2024

14 pages

Published in:

PoS CORFU2023 (2024) 259

Contribution to:

- CORFU2023
, 259

Published: Jul 31, 2024

e-Print:

2404.19414 [hep-th]

DOI:

10.22323/1.463.0259

Report number:

YITP-24-38

View in:

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Abstract: (SISSA)

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.

Note:

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]

temperature: 0
finite temperature: effect
quantum chromodynamics
gauge field theory
deconfinement
critical phenomena
thermodynamical
SU(3)
quark
lattice field theory

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