Phys. Rev. Lett. 55, 783–786 (1985)Quaternionic Quantum Field TheorySee Also: Erratum Received 3 July 1985; published in the issue dated 19 August 1985 We show that a quaternionic quantum field theory can be formulated when the numbers of bosonic and fermionic degrees of freedom are equal and the fermions, as well as the bosons, obey a second-order wave equation. The theory is initially defined in terms of a quaternion-imaginary Lagrangean using the Feynman sum over histories. A Schrödinger equation can be derived from the functional integral, which identifies the quaternion-imaginary quantum Hamiltonian. Conversely, the transformation theory based on this Hamiltonian can be used to rederive the functional-integral formulation. © 1985 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.55.783
DOI:
10.1103/PhysRevLett.55.783
PACS:
11.10.Ef, 03.65.Ca
See AlsoErratum: Stephen L. Adler, Quaternionic Quantum Field Theory, Phys. Rev. Lett. 55, 1430 (1985). |
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