Dual representation of Polyakov loop in 3d SU(2) lattice Yang-Mills theory

Abstract

We consider the expectation value of a Polyakov loop in 3d SU(2) lattice Yang--Mills theory and transform it to the dual representation in terms of sums over spins. The spin dependence of the amplitudes is computed explicitly by a graphical method. We also determine the asymptotic (large spin) limit of the amplitude factors.

arXiv comment17 pages, 6 figures; minor changes

References in corpus (6)

• Spin Foam Models
• Dual of 3-dimensional pure SU(2) Lattice Gauge Theory and the Ponzano-Regge Model
• Spin Foam Diagrammatics and Topological Invariance
• Dual Computations of Non-abelian Yang-Mills on the Lattice
• Yang-Mills Theory in Three Dimensions as Quantum Gravity Theory
• An exact string representation of 3d SU(2) lattice Yang--Mills theory

Cited by in corpus (3)

• A Gauge-Independent Mechanism for Confinement and Mass Gap: Part I -- The General Framework
• A Gauge-Independent Mechanism for Confinement and Mass Gap: Part II -- G=SU(2) and D=3
• An exact string representation of 3d SU(2) lattice Yang--Mills theory