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

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

2002-06-12

arxiv.org/abs/hep-ph/0206108v1

Phys.Rev.Lett. 89 (2002) 271602

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, latex, 8 figures

Scientific paper

10.1103/PhysRevLett.89.271602

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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