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The classic example here is the Thirring model, which describes fermions in 1+1 dimensions. While this is a very special two dimensional model (so the conclusions cannot be generalized), Sidney Coleman found that it is equivalent to the Sine-Gordon model, a theory of bosons. The demonstration is rather technical (Coleman essentially proved that the ...


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Some of my recent results may be relevant, but they use electromagnetic field as input, and electromagnetic field is associated with spin 1. Three out of four components of the Dirac spinor function can be algebraically eliminated from the Dirac equation in an arbitrary electromagnetic field. The resulting equation for one complex function (which can be ...


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The answer is Yes. See A physical understanding of fractionalization http://arxiv.org/abs/hep-th/0302201 Quantum order from string-net condensations and origin of light and massless fermions, Xiao-Gang Wen; Spin-1/2 and Fermi statistics from qubits http://arxiv.org/abs/hep-th/0507118 Quantum ether: photons and electrons from a rotor model, ...



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