4 papers
Geometric QCD II: The Confining Twistor String and Meson Spectrum
Alexander Migdal
We present a local, asymptotically free solution of the planar Makeenko--Migdal loop equations in the continuum limit with full Lorentz invariance. The solution is constructed by q…
Geometric QCD I: The Hodge-Dual Surface and Quark Confinement
Alexander Migdal
This is the first of two papers presenting a geometric framework for Planar QCD (). In this part, we establish the kinematic foundation of the theory by constructin…
Exact Confining Solution of the Planar QCD Loop Equation via a Matrix Ensemble
Alexander Migdal
We construct an exact solution to the planar QCD loop equation in four-dimensional Euclidean space using a novel matrix-valued momentum loop formalism. Central to this construction…
Spontaneous quantization of the Yang--Mills gradient flow
Alexander Migdal
We formulate a nonsingular loop-space calculus for Yang-Mills (YM) gradient flow directly in terms of Wilson loops. Variations act within the manifold of smooth loops via finite, r…