Gaussian Effective Potential and the Coleman's normal-ordering Prescription : the Functional Integral Formalism

Abstract

For a class of system, the potential of whose Bosonic Hamiltonian has a Fourier representation in the sense of tempered distributions, we calculate the Gaussian effective potential within the framework of functional integral formalism. We show that the Coleman's normal-ordering prescription can be formally generalized to the functional integral formalism.

6 pages, revtex; With derivation details and an example added. To appear in J. Phys. A

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• Gaussian Wavefunctional Approach in Thermofield Dynamics
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• Optimized Rayleigh-Schrödinger Expansion of the Effective Potential
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