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Yang-mills dynamics as an effective theory of composite vector bosons

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Il Nuovo Cimento A (1965-1970)

Summary

Alternatively to the evaluation of path integrals, weak-mapping theorems of quantum fields can be used for the derivation of relativistic composite particle dynamics from a given dynamics of subcomponent fields (particles). These theorems are applied to a nonlinear spinor-isospinor field with nonperturbative Pauli-Villars regularization and canonical quantization, where vector boson states were calculated as two-fermion (spinor-isospinor) composites. In the low-energy limit the weak mapping of the functional equation of this quantized spinor field leads to the field-theoretic functional equations for a Yang-Mills field which governs the dynamics of the composite vector bosons. In the framework of these theorems the quantum properties of this mappedSU(2) field are also derived.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Tübingen, Germany

    H. Stumpf & W. Pfister

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  1. H. Stumpf
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  2. W. Pfister
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Stumpf, H., Pfister, W. Yang-mills dynamics as an effective theory of composite vector bosons. Nuov Cim A 105, 677–694 (1992). https://doi.org/10.1007/BF02730773

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  • DOI: https://doi.org/10.1007/BF02730773

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