Selfconsistent field method for planar phi**3 theory
Aug, 200331 pages
Published in:
- Nucl.Phys.B 677 (2004) 354-378
e-Print:
- hep-th/0308197 [hep-th]
Report number:
- LBNL-53594,
- UCB-PTH-03-21
Citations per year
Abstract: (Elsevier)
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.Note:
- Latex, no other macros needed
- 12.38.Cy
- 03.70.+k
- phi**n model: 3
- perturbation theory: higher-order
- Feynman graph: planar
- invariance: Lorentz
- renormalization
- two-point function
- asymptotic behavior
References(13)
Figures(0)