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Variational Approach to Quantum Field Theory: Gaussian Approximation and the Perturbative Expansion around It

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arxiv hep-th/9707234 v2 pith:MZKZNKSD submitted 1997-07-29 hep-th

Variational Approach to Quantum Field Theory: Gaussian Approximation and the Perturbative Expansion around It

classification hep-th
keywords approximationfieldgaussianmethodvariationalformulationquantumtheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The functional Schrodinger picture formulation of quantum field theory and the variational Gaussian approximation method based on the formulation are briefly reviewed. After presenting recent attempts to improve the variational approximation, we introduce a new systematic method based on the background field method, which enables one to compute the order-by-order correction terms to the Gaussian approximation of the effective action.

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  1. Variational Method in Quantum Field Theory

    hep-th 2025-11 conditional novelty 7.0

    A variational ansatz built from exact sinh-Gordon vacuum expectation values yields quantitative estimates of the φ⁴ ground-state energy and mass, validated by Borel resummation and truncated-space numerics.