Temperature dependence of the non-abelian gauge couplings at finite temperature

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The temperature dependence of the non-abelian gauge couplings at finite temperature is calculated using the momentum-space subtraction method. The inverse of the coupling, a( μ, ξ ≡ T/ μ) −1 ∼ bln[ μ/ Λ( ξ)], shows essentially a power-like ξ(≡ T/ μ) dependence in sharp contrast with the usual logarithmic dependence on the renormalization scale μ. The strong vertex dependence of the coupling is clarified.