String Theory and Quantum Spin Chains

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.

9 LaTeX pages + 1 figure appended, OUTP-9404P

References in corpus (3)

• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• $1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
• Light-Cone Quantization of the c=2 Matrix Model

Cited by in corpus (5)

• Glueballs from 1+1 Dimensional Gauge Theories with Transverse Degrees of Freedom
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions
• Generating Quantum States through Spin Chain Dynamics
• c>1 Non-Critical Strings and Large-N Matrix Field Theory
• Finite Size Scaling, Fisher Zeroes and N=4 Super Yang-Mills