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arXiv · 2206.08470

Non-Perturbative Groundstate of High Temperature Yang-Mills Theory

D. Yamada
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Abstract

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.

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D. Yamada. 2022-06-16. Non-Perturbative Groundstate of High Temperature Yang-Mills Theory. https://arxiv.org/abs/2206.08470

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