2024/07/15 by M. Billó, Billo', Marco, Luca Griguolo +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2407.11222
openalex publication_date 2024/07/15 · openalex created_date 2024/10/26 · openalex updated_date 2026/07/28
We examine the relation between supersymmetric localization on \mathbbS4 and standard QFT results for non-conformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU(N) N= 2 SYM theories with massless hypermultiplets in an arbitrary representation R such that the β-function is non-vanishing. On \mathbbS4, localization maps this observable into an interacting matrix model. Although conformal symmetry is broken at the quantum level, we show that within a specific regime of validity the matrix model predictions are consistent with perturbation theory in flat space up to order g6. In particular, at this order, localization predicts two classes of corrections proportional to ζ(3) whose diagrammatic origins in field theory are remarkably different. One class of ζ(3)-like corrections emerges via interference effects between evanescent terms and the ultraviolet (UV) poles associated with the bare coupling constant, while the second one stems from a Feynman integral which retains the same form in flat space and on the sphere.