Abstract
The scheme of quantisation of non-local field theory is formulated.
An intermediate regularisation is introduced into the non-local Lagrangian of the classical scalar field in such a way that the procedure of the canonical quantisation leads to the appearance of additional ghost states with indefinite metrics. The ghost states disappear when the regularisation is removed but the propagator of the scalar particle becomes non-local and theS-matrix is finite, unitary, causal and covariant in each perturbation order.
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Efimov, G.V. Quantization of non-local field theory. Int J Theor Phys 10, 19–37 (1974). https://doi.org/10.1007/BF01808314
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DOI: https://doi.org/10.1007/BF01808314