Structure of Hybrid Static Potential Flux Tubes in SU(2) Lattice Yang--Mills Theory

Abstract

We study the structure of the hybrid static potential flux tube in the Π u sector in SU(2) lattice Yang-Mills theory. To this end, we compute the squares of the chromoelectric and chromomagnetic field strengths in the presence of a static quark-antiquark pair. We show clear evidence that the gluon distribution is significantly different compared to that of the ordinary static potential with quantum numbers Σ + g .

Structure of hybrid static potential flux tubes in Lattice Yang-Mills-theory

“…As already observed in [12], the field strength components of the ordinary and of hybrid static potentials are essentially the same in the vicinity of the static quarks. Therefore, we focus on results on the mediator axis.…”

“…[3,4,5,6,7,8,9,10]. Very recently also hybrid static potential flux tubes have been computed [11,12,13]. Lattice gauge theory results on hybrid static potentials are often used as input in effective field theory or phenomenological approaches, e.g.…”

Precision computation of hybrid static potentials in SU(3) lattice gauge theory

“…Furthermore, 3-point functions will provide interesting insights concerning the gluon distribution inside heavy hybrid mesons. We have presented first corresponding results at recent conferences [63,64].…”

Hybrid static potential flux tubes from SU(2) and SU(3) lattice gauge theory

“…While such flux tubes have been studied for the ordinary static potential using lattice gauge theory for quite some time (see refs. [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]), this is a rather new direction for hybrid static potentials, where first results appeared only recently [49][50][51][52]. In this paper we substantially extend existing work by performing computations for seven hybrid static potential sectors characterized by quantum numbers Λ ( )…”