Unbroken Center Symmetry Implies Quark Confinement - A Rigorous Proof

Explore a rigorous mathematical proof confirming the longstanding physics heuristic that quark confinement is a consequence of unbroken center symmetry in this one-hour conference talk. Delve into the precise definition of center symmetry in lattice gauge theories and understand the proof demonstrating that a theory exhibits confinement when center symmetry remains unbroken. Discover a sufficient condition for unbroken center symmetry, learning how exponential decay of correlations under arbitrary boundary conditions, combined with a nontrivial center of the gauge group, ensures that center symmetry does not break. Gain insights into one of modern physics' enduring mysteries through this rigorous mathematical approach to quark confinement.

Sourav Chatterjee: Unbroken Center Symmetry Implies Quark Confinement: A Rigorous Proof #ICBS2024