2014/11/30 by Mikhail Shifman, Gianni Tallarita, A. Yung +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Higgs boson #Higgs field #Logarithm #Mathematical analysis #Mathematics #Minimal Supersymmetric Standard Model #Particle physics #Particle physics theoretical and experimental studies #Physics #String (physics) #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.91.065005
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(6) (American Physical Society) · 16 pages, 5 figures, version accepted in Physical Review D
arxiv created 2015/02/12 · openalex publication_date 2015/03/03 · arxiv updated 2015/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study flux tubes (strings) on the Higgs branches in supersymmetric gauge theories. In generic vacua on the Higgs branches, strings were shown to develop long-range ``tails'' associated with massless fields, a characteristic feature of the Higgs branch (the only exception is the vacuum at the base of the Higgs branch). A natural infrared regularization for the above tails is provided by a finite string length L. We perform a numerical study of these strings in generic vacua. We focus on the simplest example of strings in N=1 supersymmetric QED with the Fayet-Iliopoulos term. In particular, we examine the accuracy of a logarithmic approximation (proposed earlier by Evlampiev and Yung) for the tension of such string solutions. In the Evlampiev-Yung formula, the dependence of tension on the string length is logarithmic, and the dependence on the geodesic length from the base of the Higgs branch is quadratic. We observe a remarkable agreement of our numerical results for the string tension with the Evlampiev-Yung analytic expression.