Unitary and Hermitian matrices in an external field

Gross, David J.; Newman, Michael J.

doi:10.1016/0370-2693(91)91042-T

Unitary and Hermitian matrices in an external field

David J. Gross
(
- Princeton U.
)
,
Michael J. Newman
(
- Princeton U.
)

May, 1991

7 pages

Published in:

Phys.Lett.B 266 (1991) 291-297

Published: 1991

DOI:

10.1016/0370-2693(91)91042-T

Report number:

PUPT-1257

View in:

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Abstract: (Elsevier)

We analyze unitary and hermitian matrix models in an external field, deriving a method for finding the free energy to all orders in 1 N . We investigate the double scaling limits, and find unusual multicritical points similar to those of the recently solved d =−2 model.

matrix model
partition function
external field
differential equations
energy
scaling
critical phenomena
expansion 1/N

References(13)

Figures(0)

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