Non-Perturbative Groundstate of High Temperature Yang-Mills Theory

Yamada, D.

Non-Perturbative Groundstate of High Temperature Yang-Mills Theory

D. Yamada
(
- Kochi U. of Tech.
)

Jun 16, 2022

40 pages

e-Print:

2206.08470 [hep-th]

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Abstract: (arXiv)

The effective potential of Yang-Mills theory at high temperature derived by Gross, Pisarski, Yaffe and Weiss is critically reexamined and it is argued that the groundstate of the potential at =0 is invalid, due to the infrared divergence of the Matsubara zero mode. This suggests that the thermal groundstate is dominated by infrared non-perturbative effects. Lattice simulations are carried out and the field A0 in the static gauge is observed to acquire nonzero, non-perturbative expectation values at high temperatures. A consequence is that thermal perturbation theory is inconsistent with the non-perturbative groundstate and it cannot account for all of the contributions to a thermodynamic quantity at any temperature. Related issues, including dimensional reduction and confinement, are also discussed.

Note:

31-page main text with 7 figures plus supplements

temperature: high
effect: nonperturbative
gauge field theory: Yang-Mills
thermal
dimensional reduction
infrared problem
thermodynamical
zero mode
infrared
lattice

References(50)

Figures(8)

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