THE VACUUM ENERGY OF QED WITH 4-FERMION INTERACTION
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We consider quantum electrodynamics in the quenched approximation including a four-fermion interaction with coupling constant g. The effective potential at stationary points is computed as a function of the coupling constants alpha and g and an ultraviolet cutoff LAMBDA, showing a minimum of energy in the (alpha, g) plane for alpha = alpha(c) = pi/3 and g = infinity. When we go to the continuum limit (LAMBDA --> infinity), keeping finite the dynamical mass, the minimum of energy moves to (alpha = 0, g = 1), which correspond to a point where the theory is trivial.
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Zeitschrift Fur Physik C-particles and Fields. New York: Springer Verlag, v. 56, n. 3, p. 457-460, 1992.