An Improved Mean Field Approximation on the Worldsheet for Planar phi^3 Theory

Details An Improved Mean Field Approximation on the Worldsheet for Planar phi^3 Theory An Improved Mean Field Approximation on the Worldsheet for Planar phi^3 Theory

2002-12-19

arxiv.org/abs/hep-th/0212254v1

Nucl.Phys. B661 (2003) 235-256

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 3 figures

Scientific paper

10.1016/S0550-3213(03)00343-2

We present an improved version of our earlier work on summing the planar graphs in phi^3 field theory. The present treatment is also based on our world sheet formalism and the mean field approximation, but it makes use of no further approximations. We derive a set of equations between the expectation values of the world sheet fields, and we investigate them in certain limits. We show that the equations can give rise to (metastable) string forming solutions.

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