Exact Green's function for fermions in an external Yang-Mills gauge field

Key Points

• This research aims to derive the Green's function for fermions interacting with an external Yang-Mills gauge field with SU(N) symmetry.
• Development of the Green's function for fermions under non-Abelian gauge fields.
• Analysis of the Yang-Mills equations as applied to plane waves on the light cone.
• Successfully derived the Green's function applicable for fermions in the specified gauge field.
• Demonstrated the relationship between the solution to Yang-Mills equations and fermionic behavior.