We formulate the Euclidean Yang-Mills gauge theory for isospin in terms of multispinors of SU(2) ×{} SU(2)[= O(4)] ×{} SU(2). The Dirac equation for fermions with arbitrary isospin interacting with the self-dual, conformally covariant Yang-Mills field is analyzed and completely solved for the isovector case. The relevance for this problem of the Atiyah-Singer index theory and its relation to the anomalous divergence of the axial-vector current are also explained.
No takes yet. Share an insight, caveat, or question.
Jackiw et al. (1977) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: