Speaker: Antonino marcianò (Fudan University)
Time: 2025-12-18 15:00-16:00
Location: 1510, SIMIS
Zoom Meeting ID: 895 0048 5582 Passcode: SIMIS
Abstract:
We introduce a stochastic geometry (Ricci) flow coupled with the stochastic Yang–Mills gauge flow to elucidate the mechanisms underlying quark confinement in quantum chromodynamics (QCD). This framework generates chromo-magnetic and chromo-electric vortices, which drive the area-law behavior — a hallmark of confinement in Yang–Mills theories. Vortices enclosed within Wilson loops induce the area-law asymptotic behavior of vacuum expectation values, while their disappearance, due to topology changes in the hadronic ground state manifold, transitions the system to a perimeter-law regime. Confinement emerges as a consequence of manifold topology changes, mediated by the Aharonov–Bohm effect arising from compact chromo-electric and magnetic fluxes. The stochastic flow naturally accounts for vortex formation and turbulence in the Yang-Mills vacuum, dynamically induced by braiding and knotting of vortices. Furthermore, we derive dimensional transmutation for Yang–Mills fields from the scaling properties of the geometry flow, yielding a relation involving the infrared equilibrium limit of the Planck constant that accurately estimates ΛQCD.
About Speaker
Antonino marcianò is currently a professor at Fudan University. His research interests include gravitational waves and first order phase transitions, dark matter models, inflation, dark energy, quantum cosmology and quantum gravity.
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