Self Consistent Field Method for Planar phi^3 Theory
arXiv:hep-th/0308197 · doi:10.1016/j.nuclphysb.2003.10.046
Abstract
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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References in corpus (5)
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- A Worldsheet Description of Large N_c Quantum Field Theory
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Cited by in corpus (10)
- One-loop MHV Rules and Pure Yang-Mills
- Renormalization of Quantum Fields on the Lightcone Worldsheet I: Scalar Fields
- Notes on One-loop Calculations in Light-cone Gauge
- Mean Field Method Applied To The New World Sheet Field Theory: String Formation
- Further Results about Field Theory on the World Sheet and String Formation
- Meanfield Approximation For Field Theories On The Worldsheet Revisited
- Summing Planar Bosonic Strings
- Covariant And Local Field Theory On The World Sheet
- Quantum Field Theory in the Language of Light-cone String
- 1- Brane Sources for the Lightcone Worldsheet: Q-branion - {\bar Q}-branion Scattering to One Loop