A nonlocal and nonlinear theory of hadrons, equivalent to the color singlet sector two dimensional QCD, is constructed. The phase space space of this theory is an infinite dimensional Grassmannian.â€¦ (More)

We solve a long-standing problem in particle physics: that of deriving the Deep Inelastic structure functions of the proton from the fundamental theory of strong interactions, Quantum ChromoDynamicsâ€¦ (More)

The physical variables of classical thermodynamics occur in conjugate pairs such as pressure/volume, entropy/temperature, chemical potential/particle number. Nevertheless, and unlike in classicalâ€¦ (More)

We study a model of quantum Yangâ€“Mills theory with a finite number of gauge invariant degrees of freedom. The gauge field has only a finite number of degrees of freedom since we assume thatâ€¦ (More)

We show that, in 't Hooft's large N limit, matrix models can be formulated as a classical theory whose equations of motion are the factor-ized Schwingerâ€“Dyson equations. We discover an actionâ€¦ (More)

We present an analysis of the Yangian symmetries of various bosonic sectors of the dilatation operator of N = 4 SYM. The analysis is presented from the point of view of Hamiltonian matrix models. Inâ€¦ (More)

In this article, we will discuss geometric quantization of 2d QCD with fermionic and bosonic matter fields. We identify the respective large-Nc phase spaces as the infinite dimensional Grassmannianâ€¦ (More)

We consider quantum dynamical systems whose degrees of freedom are described by N Ã— N matrices, in the planar limit N â†’ âˆž. Examples are gauge theories and the M(atrix)-theory of strings. Statesâ€¦ (More)

We study some quantum theories which are divergent but for which renor-malization can be performed nonperturbatively and explicitly. The result is a wellâ€“defined, finite formulation of theseâ€¦ (More)

We show, using the large N limit, that there is a nonâ€“trivial scale invariant action for four dimensional scalar field theory. We investigate the possibility that the scalar sector of the standardâ€¦ (More)