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For x> √ 2n the Hermite polynomials Hn(x) admit the asymptotic representation (Theorem 1 in [33]) Hn(x) n→∞ ≃ exp [x2−σx−n 2 +n ln(σ +x) ]√ 1 2 ( 1 +x σ ) , σ = √ x2− 2n

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2019 1

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Critical point signatures in the cluster expansion in fugacities

hep-ph · 2019-09-05 · conditional · novelty 7.0

In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data yields μ_R_br/T ≤ 2-3 at T > 135 MeV.

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  • Critical point signatures in the cluster expansion in fugacities hep-ph · 2019-09-05 · conditional · none · ref 2

    In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data yields μ_R_br/T ≤ 2-3 at T > 135 MeV.