A Gauge-Independent Mechanism for Confinement and Mass Gap: Part II -- G=SU(2) and D=3

Details A Gauge-Independent Mechanism for Confinement and Mass Gap: Part II -- G=SU(2) and D=3 A Gauge-Independent Mechanism for Confinement and Mass Gap: Part II -- G=SU(2) and D=3

2009-08-13

arxiv.org/abs/0908.1893v1

Nucl.Phys.B835:51-74,2010

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 3 figures

Scientific paper

10.1016/j.nuclphysb.2010.02.018

We apply to the case of gauge group G = SU(2) in three dimensions a recently proposed gauge-independent mechanism for confinement that is based on a particular form of the dual spin foam framework for lattice gauge theory. Explicit formulae for interaction factors and their asymptotics are introduced and their behavior in different sectors of the theory are identified and analyzed. We arrive at several elementary properties of the dual theory that represent one scenario by which confinement may be realized at weak coupling. We conclude with an outlook for further development of this approach.

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