Spinorial flux tubes in SO(N) gauge theories in 2+1 dimensions

• Main Author: Michael Teper
• Format: Article
• Language: English
• Published: SpringerOpen 2018-11-01
• Series: Journal of High Energy Physics
• Subjects: Gauge Symmetry; Lattice Quantum Field Theory; Wilson, ’t Hooft and Polyakov loops
• Online Access: http://link.springer.com/article/10.1007/JHEP11(2018)132

Abstract We investigate whether one can observe in SO(3) and SO(4) (lattice) gauge theories the presence of spinorial flux tubes, i.e. ones that correspond to the fundamental representation of SU(2); and similarly for SO(6) and SU(4). We do so by calculating the finite volume dependence of the J p = 2+ glueball in 2 + 1 dimensions, using lattice simulations. We show how this provides strong evidence that these SO(N) gauge theories contain states that are composed of (conjugate) pairs of winding spinorial flux tubes, i.e. ones that are in the (anti)fundamental of the corresponding SU(N ′) gauge theories. Moreover, these two flux tubes can be arbitrarily far apart. This is so despite the fact that the fields that are available in the SO(N) lattice field theories do not appear to allow us to construct operators that project onto single spinorial flux tubes.