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Higher order extensions of the Gaussian effective potential · Around

2013

Higher order extensions of the Gaussian effective potential

Siringo, Fabio

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A variational method is discussed, extending the Gaussian effective potential to higher orders.

The single variational parameter is replaced by trial unknown two-point functions, with infinite variational parameters to be optimized by the solution of a set of integral equations.
These stationary conditions are derived by the self-energy without having to write the effective potential, making use of a general relation between self-energy and functional derivatives of the potential.
This connection is proven to any order and verified up to second order by an explicit calculation for the scalar theory.

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Then

C. K. Kim, A, Rakhimow, Jae Hyung Hee, Eur. Phys. Jour. B 39
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F. Siringo and L. Marotta, Int. J. Mod. Phys. A25
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A. P. Szczepaniak, Phys.Rev. D 69

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