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Optimized Rayleigh–Schrödinger expansion of the effective potential |
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| Authors: | Wen-Fa Lu Chul Koo Kim Kyun Nahm |
| Affiliation: | a Institute of Physics and Applied Physics, Yonsei University, Seoul 120-749, South Korea b Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China c Center for Strongly Correlated Materials Research, Seoul National University, Seoul 151-742, South Korea d Department of Physics, Yonsei University, Wonju 220-710, South Korea |
| Abstract: | An optimized Rayleigh–Schrödinger expansion scheme of solving the functional Schrödinger 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 λφ4 field theory yields the same post-Gaussian effective potential as obtained in the functional integral formalism. |
| Keywords: | Effective potential Functional Schrödinger equation Rayleigh–Schrödinger expansion Variational perturbation approach Non-perturbative quantum field theory |
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