Abstract
The purpose of this contribution is to show howa nuclear field theory follows naturally from thestructure of four-dimensional Riemannian geometry. AYang-Mills field is introduced by constructing fibers that include all possible exchanges of spin,parity, and charge such that the collective quantumnumbers remain the same. In this way O(4) internalsymmetry transformations are found and a connection is obtained by exponentiation of a CP-invariantoperator C associated with the ground state. The metricis Calabi–Yau and Einstein. Carbon-13 is chosen asan example because it is the lightest nucleus to exhibit small spin mutations even though there is nodeformation parameter in the O(4) commutation relations.Instead, a supersymmetric transformation replaces aquantum group. Mirror symmetry is also discussed and because a density functional approach isused it is possible to regard the nucleus as astatistical ensemble.
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de Wet, J.A. Nuclear Field Theory with Chiral Symmetry on a Calabi–Yau Manifold. International Journal of Theoretical Physics 37, 2027–2041 (1998). https://doi.org/10.1023/A:1026625615977
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DOI: https://doi.org/10.1023/A:1026625615977