ar X iv : h ep - p h / 02 06 10 8 v 1 1 2 Ju n 20 02 Convergence of the Linear δ Expansion in the Critical O ( N ) Field Theory

نویسنده

  • Eugeniu Radescu
چکیده

The linear δ 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 δ expansion for 〈~ φ 〉 converges, with errors decreasing like a power of the order n in δ. 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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تاریخ انتشار 2008