Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories

• Main Authors: M. Billò, F. Fucito, G. P. Korchemsky, A. Lerda, J. F. Morales
• Format: Article
• Language: English
• Published: SpringerOpen 2019-05-01
• Series: Journal of High Energy Physics
• Subjects: Supersymmetric Gauge Theory; Matrix Models
• Online Access: http://link.springer.com/article/10.1007/JHEP05(2019)199

Abstract We study the two-point correlation functions of chiral/anti-chiral operators in N $$ \mathcal{N} $$ = 2 supersymmetric Yang-Mills theories on ℝ $$ \mathbb{R} $$ 4 with gauge group SU(N) and N f massless hypermultiplets in the fundamental representation. We compute them in perturbation theory, using dimensional regularization up to two loops, and show that field-theory observables built out of dimensionless ratios of two-point renormalized correlators on ℝ $$ \mathbb{R} $$ 4 are in perfect agreement with the same quantities computed using localization on the four-sphere, even in the non-conformal case N f ≠ 2N.