c>1 Non-Critical Strings and Large-N Matrix Field Theory

Abstract

Motivated by a possible relativistic string description of hadrons we use a discretised light-cone quantisation and Lanczos algorithm to investigate the phase structure of phi^3 matrix field theory in the large N limit. In 1+1 dimensions we confirm the existence of Polyakov's non-critical string theory at the boundary between parton-like and string-like phases, finding critical exponents for longitudinal oscillations equal to or consistent with those given by a mean field argument. The excitation spectrum is finite, possibly discrete. We calculate light-cone structure functions and find evidence that the probability Q(x) of a parton in the string carrying longitudinal momentum fraction between x and x+dx has support on all 0<x<1, despite the average number of partons being infinite.

9 pages LateX + 7 figures uuencoded

References in corpus (4)

• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• Light-Cone Quantization of the c=2 Matrix Model
• The Weingarten Model a la Polyakov
• String Theory and Quantum Spin Chains

Cited by in corpus (6)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current
• Glueballs from 1+1 Dimensional Gauge Theories with Transverse Degrees of Freedom
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions
• QCD Fishnets Revisited
• The Light-Cone Fock Representation in QCD