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

Abstract

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.

32 pages, 3 figures

References in corpus (3)

• A semi-classical limit of the gauge/string correspondence
• A Worldsheet Description of Planar Yang-Mills Theory
• A Worldsheet Description of Large N_c Quantum Field Theory

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• Renormalization of Quantum Fields on the Lightcone Worldsheet I: Scalar Fields
• Self Consistent Field Method for Planar phi^3 Theory
• 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
• 1- Brane Sources for the Lightcone Worldsheet: Q-branion - {\bar Q}-branion Scattering to One Loop