This theoretical investigation reveals the unique structure of rank-1 self-sourced gauge potentials, suggesting implications for fundamental interactions.
Key Points
This paper explores the structural demands placed on a massless rank-1 gauge potential when its own field carries the source, focusing on self-sourcing in classical Lagrangians.
Applied structural demands: frame-independence, index matching, and self-sourcing.
Derived a fixed-point equation involving the potential as both field and source.
Utilized the BRST-cohomological deformation theorem to characterize the coupling structure.
Identified the unique nonlinear completion of Yang-Mills within a structural classification.
Demonstrated that self-sourcing leads to a non-trivial cubic vertex coupling for rank-1 potentials.
Established that Maxwell theory is the abelian limit with fabc = 0.