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arXiv · 2212.09457

Spin-half bosons with mass dimension three half: Evading the spin-statistics theorem

Dharam Vir Ahluwalia·Cheng-Yang Lee
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Abstract

By exploiting the freedom in defining the dual of spinors, we report an unexpected theoretical discovery of a quantum field theory of spin-half bosons. It fulfils Dirac's 1969-70 observation that "there must be boson variables connected with electrons." The theory is local, Lorentz-invariant, and has a positive-definite Hamiltonian. We formulate the unitarity-preserving scattering theory to accommodate the new dual and the associated adjoint. A model of Yukawa interaction with spin-half bosons and fermions of equal masses is studied to explicitly show unitarity.

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Dharam Vir Ahluwalia, Cheng-Yang Lee. 2022-10-19. Spin-half bosons with mass dimension three half: Evading the spin-statistics theorem. https://doi.org/10.1209/0295-5075%2Fac97bd

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