Emergent Inert Adjoint Scalar Field in SU(2) Yang-Mills Thermodynamics due to Coarse-Grained Topological Fluctuations

Figure 4

𝒜 as a function of (2𝜋/𝛽𝜏) for 𝜁=1,2,10. For each case the dashed line is a plot of max𝒜×sin((2𝜋/𝛽)𝜏). We have fitted the asymptotic dependence on 𝜁 of the amplitude of 𝒜 as 𝒜((2𝜋/𝛽)𝜏=𝜋/2,𝜁)=272𝜁³,(𝜁>10). The fit is stable under variations of the fitting interval. For the case 𝜁=10 the difference between the two curves cannot be resolved anymore.

(a)

(b)

(c)