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This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
specialunitary_to_yangmills
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
non-Abelian gauge groups
Authored explanation
Important Yang–Mills theories use SU(n) gauge groups.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
yang_mills_to_massgap
Relation type
Emergent / collective behavior emergence
Direction
source → target
Endpoint roles
source: Gives rise collectively to; target: Emerges from
Authored annotation
expected nonperturbative gap
Authored explanation
Pure confining four-dimensional quantum Yang–Mills theory is expected to have a positive spectral gap above the vacuum; rigorous continuum construction and proof remain open.
How to interpret this relation type
The target is a collective, organizational, or scale-dependent phenomenon of the source constituents and interactions; it is not a mere list or classical sum of constituents.