Abstract
The optimized expansion for the effective action in quantum field theory is discussed to second order. As an example we use the scalar quantum field theory with λΦ 4 interaction in one-dimensional space-time, which is equivalent to quantum mechanics of the anharmonic oscillator. The ground state energy and lowest excitations obtained in the optimized expansion are compared with the results of 1/ N expansion and the exact spectrum of the anharmonic oscillator.
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