Triple scaling in random vector models
Jun 24, 199117 pages
Published in:
- Nucl.Phys.B 368 (1992) 701-717
- Published: 1992
Report number:
- MCGILL-91-17,
- NSF-ITP-91-69
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Abstract: (Elsevier)
Scaling solutions are found for the critical behavior of models of coupled vectors in the limit that the number of components of each of the vectors goes to infinity, independently. These models describe Ising spins on filamentary random surfaces coupled to an external magnetic field. The independent dimensions of the vectors provide distinct scaling variables, and the scaling equations are coupled partial differential equations. Instanton solutions exhibit a novel dependence on the magnetic field. An analysis of the general multicritical case is also presented, which yields directly an integral representation of the scaling solution.- model: vector
- critical phenomena
- scaling
- Ising model
- random surface
- magnetic field: external field
- field equations: instanton
- differential equations
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