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This study resolves the apparent violation of integer or half-integer quantization in two-dimensional charge-flux composites by identifying an intrinsic interaction angular momentum derived from full QED principles. The findings demonstrate how relativistic and field contributions precisely balance fractional kinetic components, correcting long-standing discrepancies between semiclassical models and fundamental symmetry requirements. This work advances our theoretical understanding of anyons and the conservation laws governing topological quantum systems within a rigorous electromagnetic framework.
Charge-Flux Composite Angular Momentum Now Strictly Quantized by QED
The angular momentum of a two-dimensional charge-flux composite does not typically obey the rule where angular momentum is quantized as an integer, despite rotational and reflection symmetries demanding strict quantization. Applying a full quantum electrodynamic (QED) approach demonstrates that interaction between the charge and flux generates an intrinsic interaction angular momentum, exactly compensating for the fractional part of the kinetic angular momentum.
The established rules governing angular momentum in quantum systems were challenged by recent work demonstrating strict quantization for a two-dimensional charge-flux composite. Kicheon Kang of Chonnam National University applied a full quantum electrodynamic approach, revealing that the interaction between charge and flux generates an “intrinsic interaction angular momentum” comprised of both field momentum and hidden relativistic momentum. This gauge-invariant momentum precisely balances the fractional component of kinetic angular momentum, restoring the expected integer or half-integer quantization. The research clarifies that conventional interpretations of fractional spin actually represent the expectation value of kinetic angular momentum within a perturbed quantum state, and explains why standard classical definitions of field angular momentum fail in two dimensions due to…
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