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To derive corrections to Wigner-Eckart relations due to spontaneous symmetry breaking in infinite systems.

July 26, 2026Open Access

Spontaneous Symmetry Breaking Corrections to Wigner-Eckart Relations — E8 Intelligence Research

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Finding reveals modifications to Wigner-Eckart relations in infinite systems, indicating new mathematical connections.

To derive corrections to Wigner-Eckart relations due to spontaneous symmetry breaking in infinite systems.
Derivation of corrections to Wigner-Eckart relations using matrix elements of operators transforming under irreducible representations of symmetry groups.
Analysis includes modifications to Clebsch-Gordan coefficients for unbroken subgroups and consideration of volume factors and Goldstone boson poles.
Corrections are proportional to the volume factor and Goldstone boson poles, modifying the standard Wigner-Eckart form.
No numerical ratios provided, but constants related to symmetry group structure and Goldstone decay are identified.

Andrew Stewart Caldin (2026) studied this question.

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