Summary
Following the canonical quantization procedure for a tachyon field, the usual Hamiltonian and the creation and annihilation operators are obtained. The observation that the mass hyperboloidp 2−m2 =0 is one-sheeted, as opposed to the case of bradyons wherep 2+m2 =0 is two-sheeted, leads to the construction of a base which is unbounded for negative as well as for positive energies. There is a zero-energy eigenfunction from which all other states can be constructed by repeated application of decreasing or increasing operators; within this Fock space the vacuum expectation value of the chronological product of field operators is shown to coincide with Cauchy’s principal-value Green’s function.
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This work was partially supported by Consejo Nacional de Investigaciones Cientificas y Tecnicas, and Comision de Investigaciones Cientificas, Pcia. de Buenos Aires; Argentina.
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Barci, D.G., Bollini, C.G. & Rocca, M. The tachyon propagator. Nuov Cim A 106, 603–609 (1993). https://doi.org/10.1007/BF02787229
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DOI: https://doi.org/10.1007/BF02787229