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A simple relation is derived which specifies the number of massless excitations of a Dirac field of any isospin in the field of an arbitrary configuration of pseudoparticles. The small fluctuations of the pseudoparticle field are related to those of a Dirac field with unit isospin, proving that a pseudoparticle field with winding number ± n has 8 n independent modes of small oscillations. Thus, a general configuration of n pseudoparticles or antipseudoparticles should be characterized by 8 n parameters.
Physical Review D – American Physical Society (APS)
Published: Jul 15, 1977
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