Derives α_S(μ) ≃ Λ_S²/μ² from a scale-invariant gluon condensate via gradient flow, reaching an infrared fixed point consistent with confinement.
Monopole action and condensation in SU(2) QCD
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abstract
An effective monopole action for various extended monopoles is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. The action appears to be independent of the lattice volume. Moreover it seems to depend only on the physical lattice spacing of the renormalized lattice, not on $\beta$. Entropy dominance over energy of monopole loops is seen on the renormalized lattice with the spacing $b>b_c\simeq 5.2\times10^{-3} \Lambda_L^{-1}$. This suggests that monopole condensation always (for all $\beta$) occurs in the infinite-volume limit of lattice QCD.
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Renormalization Group Approach to Confinement
Derives α_S(μ) ≃ Λ_S²/μ² from a scale-invariant gluon condensate via gradient flow, reaching an infrared fixed point consistent with confinement.