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Hodge Dual Minimal Surface and Quark Confinement
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Hodge Dual Minimal Surface and Quark Confinement

120 MIN · EN · STATUS: [ STREAMING ]
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IAS

Alexander Migdal of the Institute for Advanced Study lays out the kinematic foundation of his Geometric QCD theory, arguing that the Migdal-Makeenko loop equation admits a stable vacuum solution built from a minimal surface with a self-dual area derivative. He shows that this surface corresponds to the Hodge-dual projection of a minimal surface living in R3 tensor R4, and that the self-duality property underpinning confinement exists only in four dimensions, which is what separates this approach from standard string models that need extra critical dimensions. Migdal connects the string tension parameter kappa to the gluon condensate through the Operator Product Expansion, effectively summing multi-instanton configurations in the QCD vacuum. Delivered as part of IAS's Matrix Pizza Night series in Rubenstein Commons, the talk is dense with equations and aimed at working physicists, setting up a promised follow-up lecture on the Fermi string's quantization and the resulting meson spectrum.