NEW DEVELOPMENTS IN QUANTUM FIELD THEORY

By SUSAN JACKSON

CONTENTS THE STRUCTURE OF 2D QUANTUM SPACE-TIME SCALING LAWS IN TURBULENCE FIELD THEORY AS FREE FALL CENTER DOMINANCE, CENTER VORTICES, AND CONFINEMENT DUALITY AND THE RENORMALIZATION GROUP UNIFICATION OF THE GENERAL NON-LINEAR SIGMA MODEL AND THE VIRASORO MASTER EQUATION A MATRIX MODEL SOLUTION OF THE HIROTA EQUATION LATTICE APPROXIMATION OF QUANTUM ELECTRODYNAMICS THREE INTRODUCTORY TALKS ON MATRIX MODELS OF SUPERSTRINGS NEW DEVELOPMENTS IN THE CONTINUOUS RENORMALIZATION GROUP PRIMORDIAL MAGNETIC FIELDS AND THEIR DEVELOPMENT (APPLIED FIELD THEORY) TOWARDS MATRIX MODELS OF IIB SUPERSTRINGS QUANTUM MECHANICS OF THE ELECTRIC CHARGE UNIVERSAL FLUCTUATIONS IN DIRAC SPECTRA DETERMINATION OF CRITICAL EXPONENTS AND EQUATION OF STATE BY FIELD THEORY METHODS COLLECTIVE DYNAMICS OF A DOMAIN WALL PATH SPACE FORMULATION OF THE BFV THEOREM SURPLUS ANOMALY AND RANDOM GEOMETRIES TOPOLOGICAL CONTENTS OF 3D SEIBERG-WITTEN THEORY FREE STRINGS IN NON-CRITICAL DIMENSIONS SEIBERG-WITTEN THEORY, INTEGRABLE SYSTEMS AND D-BRANES MICROSCOPIC UNIVERSALITY IN RANDOM MATRIX MODELS OF QCD NEW DEVELOPMENTS IN NON-HERMITIAN RANDOM MATRIX MODELS POTENTIAL TOPOGRAPHY AND MASS GENERATION