Critical behavior in c = 1 matrix model with branching interactions

Sugino, Fumihiko; Tsuchiya, Osamu

doi:10.1142/S0217732394002975

Critical behavior in c = 1 matrix model with branching interactions

Fumihiko Sugino
(
- Tokyo U., Komaba
)
,
Osamu Tsuchiya
(
- Tokyo U., Komaba
)

Mar, 1994

10 pages

Published in:

Mod.Phys.Lett.A 9 (1994) 3149-3162

e-Print:

hep-th/9403089 [hep-th]

DOI:

10.1142/S0217732394002975

Report number:

UT-KOMABA-94-4

View in:

pdf

reference search21 citations

Citations per year

Abstract:

Motivated by understanding the phase structure of

d >1

strings we investigate the

c=1

matrix model with g' (\tr M(t)~{2} )~{2} interaction which is the simplest approximation of the model expected to describe the critical phenomena of the large-

N

reduced model of odd dimensional matrix field theory. We find three distinct phases: (i) ordinary

c=1

gravity phase, (ii) a branched polymer phase and (iii) an intermediate phase. Further we can also analyse the one with slightly generalized g~{(2)} (\tr M~{2} (t) )~{2} +g~{(3) } (\tr M~{2} (t) )~{3} + \cdots + g~{(n)} (\tr M~{2} (t) )~{n} interaction. As a result the multi-critical versions of the phase (ii) and (iii) are found.