The effective potential of the confinement order parameter in the Hamilton approach

Hugo Reinhardt; Jan Heffner

The effective potential of the confinement order parameter in the Hamilton approach

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arxiv 1210.1742 v2 pith:XQSZLQRM submitted 2012-10-05 hep-th

Hugo Reinhardt , Jan Heffner This is my paper · ORCID

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The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach by compactifying one spatial dimension and using a background gauge fixing. Neglecting the ghost and using the perturbative gluon energy one recovers the Weiss potential. From the full non-perturbative potential calculated within a variational approach a critical temperature of the deconfinement phase transition of 269 MeV is found for the gauge group SU(2).

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Gravitational Waves from Confinement in $SU(N)$ Yang-Mills Theory
hep-ph 2025-12 conditional novelty 6.0 of 10

For pure SU(N) Yang-Mills dark sectors, confinement transitions produce gravitational waves too weak for LISA, ET, CE, DECIGO or BBO, with peak amplitude at N≈20 and a large-N decay h²Ω_peak ∝ N^{-14/3}.

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