Published 1977 | Version v1
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Fermions in the background pseudoparticle field in an O(5) formulation

  • 1. Niels Bohr Institutet, Copenhagen (Denmark)
  • 2. Nordisk Inst. for Teoretisk Atomfysik, Copenhagen (Denmark)
  • 3. Naples Univ. (Italy). Istituto di Fisica Teorica

Description

The eigenvalue equation for a fermion in the field of the pseudoparticle of the Yang-Mills theory is solved using the formalism of the four dimensional hypersphere. All the fermionic zero modes for a SU(2) gauge group belong to a singly nondegenerate O(5) representation. In the case of isospin n their multiplicity is given by 2/3n(n+1)(2n+1). If the fermions are in the adjoint representation the eigenfunctions of the zero modes are directly obtainable from considerations pertaining to the supersymmetry of the Yang-Mills Lagrangian. (Auth.)

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Imprint Pagination
10 p.
Report number
NBI-HE--77-3

INIS