Optimized Rayleigh-Schrödinger Expansion of the Effective Potential

Details Optimized Rayleigh-Schrödinger Expansion of the Effective Potential Optimized Rayleigh-Schrödinger Expansion of the Effective Potential

2002-04-04

arxiv.org/abs/hep-th/0204046v2

Phys.Lett. B540 (2002) 309-318

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 8 pages, no figures, revised version with literal changes

Scientific paper

10.1016/S0370-2693(02)02140-8

An optimized Rayleigh-Schr\"{o}dinger expansion scheme of solving the functional Schr\"odinger equation with an external source is proposed to calculate the effective potential beyond the Gaussian approximation. For a scalar field theory whose potential function has a Fourier representation in a sense of tempered distributions, we obtain the effective potential up to the second order, and show that the first-order result is just the Gaussian effective potential. Its application to the $\lambda\phi^4$ field theory yields the same post-Gaussian effective potential as obtained in the functional integral formalism.

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