Self Consistent Field Method for Planar phi^3 Theory

Details Self Consistent Field Method for Planar phi^3 Theory Self Consistent Field Method for Planar phi^3 Theory

2003-08-28

arxiv.org/abs/hep-th/0308197v1

Nucl.Phys. B677 (2004) 354-378

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

10.1016/j.nuclphysb.2003.10.046

We continue and extend earlier work on the summation of planar graphs in phi^3 field theory, based on a local action on the world sheet. The present work employs a somewhat different version of the self consistent field (meanfield) approximation compared to the previous work on the same subject. Using this new approach, we are able to determine in general the asymptotic forms of the solutions, and in the case of one solution, even its exact form. This solution leads to formation of an unstable string, in agreement with the previous work. We also investigate and clarify questions related to Lorentz invariance and the renormalization of the solution.

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