A Dual Non-abelian Yang-Mills Amplitude in Four Dimensions

Abstract

We derive an explicit formula for the vertex amplitude of dual SU(2) Yang-Mills theory in four dimensions on the lattice, and provide an efficient algorithm (of order j to the fourth power) for its computation. This opens the way for both numerical and analytic development of dual methods, previously limited to the case of three dimensions.

arXiv comment9 pages, 7 figures. v2: updated notation, expanded introduction, discussed tests, re-ordered bibliography

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Cited by in corpus (9)

• Thermodynamics of the QCD plasma and the large-N limit
• Approaches to the sign problem in lattice field theory
• Abelian color cycles: a new approach to strong coupling expansion and dual representations for non-abelian lattice gauge theory
• New developments for dual methods in lattice field theory at non-zero density
• Emergent Braided Matter of Quantum Geometry
• Duality transformations and the entanglement entropy of gauge theories
• A Gauge-Independent Mechanism for Confinement and Mass Gap: Part I -- The General Framework
• Recent Developments in Dual Lattice Algorithms
• Dual Non-Abelian Yang-Mills Simulations in Four Dimensions