Delta-function Interactions for the Bosonic and Spinning Strings and the Generation of Abelian Gauge Theory

Abstract

We construct contact interactions for bosonic and spinning strings. In the tensionless limit of the spinning string this reproduces the super-Wilson loop that couples spinor matter to Abelian gauge theory. Adding boundary terms that quantise the motion of charges results in a string model equivalent to spinor QED. The strings represent lines of electric flux connected to the charges. The purely bosonic model is spoilt by divergences that are excluded from the spinning model by world-sheet supersymmetry, indicating a preference for spinor matter.

68 pages, 9 figures Minor corrections to Appendix C

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Cited by in corpus (13)

• The worldline approach to helicity flip in plane waves
• QED as the tensionless limit of the spinning string with contact interaction
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• Unified theory in the worldline approach
• The Fermion Content of the Standard Model
• Integral transforms of the quantum mechanical path integral: hit function and path averaged potential
• Contact interactions between particle worldlines
• Worldline formalism for a confined scalar field
• Spinning Particles in Quantum Mechanics and Quantum Field Theory
• Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop
• Effective Lagrangian for Non-Abelian Two-Dimensional Topological Field Theory
• Steps Towards Generalization of Tensionless String Theory with Contact Interactions as Wilson loop of Non-Abelian Yang-Mills Theory
• Mandelstam formulae for generalised Wilson loops