Summing Planar Bosonic Strings
arXiv:hep-th/0602131 · doi:10.1016/j.nuclphysb.2006.04.012
Abstract
In earlier work, planar graphs of massless phi^3 theory were summed with the help of the light cone world sheet picture and the mean field approximation. In the present article, the same methods are applied to the problem of summing planar bosonic open strings. We find that in the ground state of the system, string boundaries form a condensate on the world sheet, and a new string emerges from this summation. Its slope is always greater than the initial slope, and it remains non-zero even when the initial slope is set equal to zero. If we assume that the initial string tends to some field theory in the zero slope limit, this result provides evidence for string formation in field theory.
Latex, 25 pages, 5 figures, typos corrected, a paragraph, a note, acknowledgements and more references added
References in corpus (11)
- Quantum Field Theory in the Large N Limit: a review
- A Worldsheet Description of Planar Yang-Mills Theory
- A Worldsheet Description of Large N_c Quantum Field Theory
- BT Worldsheet for Supersymmetric Gauge Theories
- A Mean Field Approximation to the Worldsheet Model of Planar phi^3 Field Theory
- The Fishnet as Anti-ferromagnetic Phase of Worldsheet Ising Spins
- Renormalization of Quantum Fields on the Lightcone Worldsheet I: Scalar Fields
- An Improved Mean Field Approximation on the Worldsheet for Planar phi^3 Theory
- 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