Nonperturbative solution of the Ising model on a random surface
Journal Article
·
· Physical Review Letters; (USA)
- Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (US)
The two-matrix-model representation of the Ising model on a random surface is solved exactly to all orders in the genus expansion. The partition function obeys a fourth-order nonlinear differential equation as a function of the string coupling constant. This equation differs from that derived for the {ital k}=3 multicritical one-matrix model, thus disproving that this model describes the Ising model. A similar equation is derived for the Yang-Lee edge singularity on a random surface, and is shown to agree with the {ital k}=3 multicritical one-matrix model.
- OSTI ID:
- 7102890
- Journal Information:
- Physical Review Letters; (USA), Vol. 64:7; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
Similar Records
Random surfaces and the Yang-Lee edge singularity
Nonperturbative two-dimensional quantum gravity
Griffiths singularities in random magnets: Results for a soluble model
Miscellaneous
·
Mon Jan 01 00:00:00 EST 1990
·
OSTI ID:7102890
Nonperturbative two-dimensional quantum gravity
Journal Article
·
Mon Jan 08 00:00:00 EST 1990
· Physical Review Letters; (USA)
·
OSTI ID:7102890
Griffiths singularities in random magnets: Results for a soluble model
Journal Article
·
Sun Oct 01 00:00:00 EDT 1989
· Physical Review (Section) B: Condensed Matter; (USA)
·
OSTI ID:7102890