String theory and quantum spin chains

Dalley, Simon

doi:10.1016/0370-2693(94)90591-6

String theory and quantum spin chains

Simon Dalley
(
- Oxford U.
)

Apr 14, 1994

10 pages

Published in:

Phys.Lett.B 334 (1994) 61-66

e-Print:

hep-th/9404058 [hep-th]

DOI:

10.1016/0370-2693(94)90591-6

Report number:

OUTP-9404-P

View in:

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Abstract:

The space-time light-cone Hamiltonian P~- of large-N matrix models for dynamical triangulations may be viewed as that of a quantum spin chain and analysed in a mean field approximation. As N -> infinity, the properties of the groundstate as a function of the bare worldsheet cosmological constant exhibit a parton phase and a critical string phase, separated by a transition with non-trivial scaling at which P- -> -infinity.

string model
matrix model
model: spin
spin: model
phi**n model: 3
phi**n model: 4
lattice field theory
mean field approximation
ground state
scaling

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