A large twist limit for any operator

A large twist limit for any operator

Blog Article

Abstract We argue that for any Warming Drawer single-trace operator in N $$ mathcal{N} $$ = 4 SYM theory there is a large twist double-scaling limit in which the Feynman graphs have an iterative structure.Such structure can be recast using a graph-building operator.Generically, this operator mixes between single trace operators with different scaling limits.The mixing captures both the finite coupling spectrum and corrections away from the large twist limit.We first consider a class of short operators with gluons and fermions for which such mixing problems do not arise, and derive their finite coupling spectra.

We then focus on a class of long operators with gluons that do mix.We invert their graph-building operator and prove its integrability.The picture that emerges from this TriMethylGlycine (TMG) work opens the door to a systematic expansion of N $$ mathcal{N} $$ = 4 SYM theory around the large twist limit.