The Planar Approximation. 2.

Itzykson, C.; Zuber, J.B.

doi:10.1063/1.524438

The Planar Approximation. 2.

C. Itzykson
(
- Saclay
)
,
J.B. Zuber
(
- Saclay
)

Jun, 1979

27 pages

Published in:

J.Math.Phys. 21 (1980) 411

Contribution to:

4th Workshop on Current Problems in High-Energy Particle Theory

DOI:

10.1063/1.524438

Report number:

SACLAY-DPh-T 79/82

View in:

reference search648 citations

Citations per year

Abstract: (AIP)

The planar approximation is reconsidered. It is shown that a saddle point method is ineffective, due to the large number of degrees of freedom. The problem of eliminating angular variables is illustrated on a simple model coupling two N×N matrices.

approximation: planar
saddle-point approximation
matrix model
group theory

References(6)

Figures(0)

A Planar Diagram Theory for Strong Interactions

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 72 (1974) 461,
•
DOI:
- 10.1016/0550-3213(74)90154-0

A Two-Dimensional Model for Mesons

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 75 (1974) 461-470
•
DOI:
- 10.1016/0550-3213(74)90088-1

- Can.J.Math. 14 21

Some Aspects of the Planar Perturbation Series

- Nucl.Phys.B 123 (1977) 109-131
•
DOI:
- 10.1016/0550-3213(77)90344-3

Planar Diagrams

- Commun.Math.Phys. 59 (1978) 35
•
DOI:
- 10.1007/BF01614153

Nonunitary bogoliubov transformations and extension of wick's theorem

R. Balian
(
- Saclay
)
,
E. Brezin
(
- Saclay
)

- Nuovo Cim.B 64 (1969) 37-55
•
DOI:
- 10.1007/BF02710281