A World sheet description of large N(c) quantum field theory
Nov, 200115 pages
Published in:
- Nucl.Phys.B 626 (2002) 287-306
e-Print:
- hep-th/0110301 [hep-th]
Report number:
- LBNL-49078,
- UCB-PTH-01-40,
- UFIFT-HEP-01-20
Citations per year
Abstract: (Elsevier)
The N c →∞ limit of a matrix quantum field theory is equivalent to summing only planar Feynman diagrams. The possibility of interpreting this sum as some kind worldsheet theory has been in the air ever since 't Hooft's original paper. We establish here just such a worldsheet description for a scalar quantum field with interaction term g Tr φ 3 / N c , and we indicate how the approach might be extended to more general field theories.Note:
- 16 pages, 3 figures, latex, typos corrected, references added, interpretation of ghost determinant clarified
- 12.38.Cy
- 03.70.+k
- field theory: scalar
- expansion 1/N
- Feynman graph: higher-order
- Feynman graph: planar
- path integral
- Ising model
- statistical mechanics: continuum limit
References(17)
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