New Superselection Sectors (Soliton States) in Two-Dimensional Bose Quantum Field Models
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Abstract: (Springer)
A rigorous construction of new super-selection selectors — so-called “soliton-sectors” — for the quantum “sine-Gordon” equation and the (φ·φ)2-quantum field models with explicitly broken isospin symmetry in two space-time dimensions is presented. These sectors are eigenspaces of the chargeQ≡∫dx(grad φ)(x) with non-zero eigenvalue. The scattering theory for quantum solitons is briefly discussed and shown to have consequences for the physics in the vacuum sector. A general theory is developed which explains why soliton-sectors may exist for theories in two but not in four space-time dimensions except possibly for non-abelian Yang-Mills theories.- SUM RULE: SUPERSELECTION RULE
- FIELD THEORY: SOLITON
- FIELD THEORETICAL MODEL: SIGMA
- sine-Gordon equation
- FIELD THEORETICAL MODEL: YANG-MILLS
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