A Large Twist Limit for Any Operator

التفاصيل البيبلوغرافية
العنوان: A Large Twist Limit for Any Operator
المؤلفون: Ferrando, Gwenaël, Sever, Amit, Sharon, Adar, Urisman, Elior
سنة النشر: 2023
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: We argue that for any single-trace operator in ${\cal N}=4$ 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 work opens the door to a systematic expansion of ${\cal N}=4$ SYM theory around the large twist limit.
Comment: 54 pages, 16 figures
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP06(2023)028
URL الوصول: http://arxiv.org/abs/2303.08852
رقم الأكسشن: edsarx.2303.08852
قاعدة البيانات: arXiv