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Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory

Eric Braaten·Eugeniu Radescu
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Abstract

The linear delta expansion is applied to the 3-dimensional O(N) scalar field theory at its critical point in a way that is compatible with the large-N limit. For a range of the arbitrary mass parameter, the linear delta expansion for converges, with errors decreasing like a power of the order n in delta. If the principal of minimal sensitivity is used to optimize the convergence rate, the errors seem to decrease exponentially with n.

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Eric Braaten, Eugeniu Radescu. 2002-06-12. Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory. https://doi.org/10.1103/physrevlett.89.271602

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