Generating functional of correlators of twist-$2$ operators in $\mathcal{N} = 1$ SUSY Yang-Mills theory, II

Autor: Bochicchio, M., Papinutto, M., Scardino, F.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: The present paper is the second installment, where we compute the generating functional of correlators of collinear twist-$2$ operators that enter the components of unbalanced superfields -- i.e., superfields with an unequal number of dotted and undotted indices in their spinor representation -- in $\mathcal{N} = 1$ SUSY SU($N$) YM theory in Minkowskian and Euclidean space-time, in the conformal limit and renormalization-group improved form, and to the leading and next-to-leading order in the large-$N$ expansion. The corresponding generating functional of correlators of balanced superfields has been worked out in the first installment. Hence, our large-$N$ calculation sets strong ultraviolet asymptotic constraints on the nonperturbative solution of large-$N$ $\mathcal{N} = 1$ SUSY YM theory that may be a pivotal guide for the search of such a solution.
Comment: 38 pages. arXiv admin note: substantial text overlap with arXiv:2403.09617
Databáze: arXiv