Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-06
Phys.Lett. B325 (1994) 423-429
Physics
High Energy Physics
High Energy Physics - Theory
CHIBA-EP-72, 13 pages (including 1 Table), LaTex file
Scientific paper
10.1016/0370-2693(94)90035-3
The fermion flavor $N_f$ dependence of non-perturbative solutions in the strong coupling phase of the gauge theory is reexamined based on the interrelation between the inversion method and the Schwinger-Dyson equation approach. Especially we point out that the apparent discrepancy on the value of the critical coupling in QED will be resolved by taking into account the higher order corrections which inevitably lead to the flavor-dependence. In the quenched QED, we conclude that the gauge-independent critical point $\alpha_c=2\pi/3$ obtained by the inversion method to the lowest order will be reduced to the result $\alpha_c=\pi/3$ of the Schwinger-Dyson equation in the infinite order limit, but its convergence is quite slow. This is shown by adding the chiral-invariant four-fermion interaction.
Ebihara Toru
Iizuka Takuya
Kondo Kei-Ichi
Tanaka Eiji
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