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A group-theoretic approach to chiral transformations

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Il Nuovo Cimento A (1965-1970)

Summary

Nonlinear transformations of meson fields under any chiral group are derived in which the fields appear as a local co-ordinate system on a differentiable manifold. The techniques are extended to include any multiplet of nucleon fields.

Riassunto

Si deducono trasformazioni non lineari di campi mesonici rispetto a qualsiasi gruppo chirale, nelle quali trasformazioni i campi compaiono come un sistema locale di coordinate su una molteplicità differenziabile. Si estendono le tecniche in modo da includere ogni multipletto di campi nucleonici.

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References

  1. Two good reviews of these techniques areP. Chang andF. Gürsey:Phys. Rev.,164, 1752 (1967).

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  2. M. Gell-Mann andM. Lévy:Nuovo Cimento,16, 705 (1960).

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The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research OAR through the European Office of Aerospace Research, United States Air Force.

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Isham, C.J. A group-theoretic approach to chiral transformations. Nuovo Cimento A (1965-1970) 59, 356–376 (1969). https://doi.org/10.1007/BF02755023

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  • DOI: https://doi.org/10.1007/BF02755023

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