Critical Temperature Shift in W eakly Interacting

By Prokof ' ev, B. Svistunov. 2001

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Making, probing and understanding ultracold Fermi gases (2008, background): “ 2/3 = π~2 m n 2ζ(3 2 ) 2/3 = 0.22EF This result holds for weakly interacting gases. For stronger interactions, there is a small positive correction TC/TC,BEC = 1 + 1.31n 1/3 M aM, with aM = 0.60a[216, 217, 218, 219, 220]. On the BCS-side, the critical temperature should smoothly connect to the BC”
Theory of the weakly interacting Bose gas (2003, methodology): “The most recent values reported by Arnold and Moore (Arnold and Moore, 2001) and by Kashurnikov et al. (Kashurnikov et al., 2001) are c ≃ 1.32 and c ≃ 1.29, respectively.”
The nonperturbative functional renormalization group and its applications (2020, background): “ence of the propagator is required, the DE is not sucient. The BMW approximation (Sec.2.4) gives c ’1:37 [121,122,517] in reasonable agreement with lattice results (c = 1:32(2) [518] and c = 1:29(5) [519]) and seven-loop resummed calculations (c = 1:27(10) [520]). Another FRG calculation, based on a”
Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques (2008, methodology): “e 14, we get an estimate for the coecient c = 1:3 0:4; (134) where the error speciﬁed is due to the uncertainty in the value of T c for the data point. This agrees with the value determined in Refs. [7,119]. 3.4 Applications to the trapped Bose gas 3.4.1 Shift in T c for a trapped Bose gas: Comparis”