Self consistent field method for planar φ^{3} theory
Abstract
We continue and extend earlier work on the summation of planar graphs in φ^{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.
 Publication:

Nuclear Physics B
 Pub Date:
 January 2004
 DOI:
 10.1016/j.nuclphysb.2003.10.046
 arXiv:
 arXiv:hepth/0308197
 Bibcode:
 2004NuPhB.677..354B
 Keywords:

 12.38.Cy;
 03.70.+k;
 Summation of perturbation theory;
 Theory of quantized fields;
 High Energy Physics  Theory
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