Quantization of non-local field theory
Article
Received:
- 63 Downloads
- 5 Citations
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.
Keywords
Field Theory Elementary Particle Quantum Field Theory Ghost Scalar Field
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- Efimov, G. V. (1968).Communications in Mathematical Physics 7 138; (1968). Preprint ITP, Kiev, Nos. 52, 54; (1970).Elementary Particles and Nuclear Physics, Vol. I, Atomizdat, Moscow; (1970). JINR, 2-5400, Dubna.Google Scholar
- Bogolubov, N. N. and Shirkov, D. V. (1969).Introduction to the Theory of Quantized Fields. Interscience, New York.Google Scholar
- Bogolubov, N. N. Medvedev, B. V. and Polivanov, M. K. (1958).Questions of the Theory of Dispersion Relations. Fizmatgiz, Moscow.Google Scholar
- Blokhintsev, D. I. (1947).Soviet Physics, JETP 17 116.Google Scholar
- Pais, A. and Uhlenbeck, G. E. (1950).Physical Review 79 145.Google Scholar
- Wentzel, G. (1943).Einfuhrung in der Quantentheorie der Wellenfelder. Wien.Google Scholar
- Nagy, K. L. (1966).State Vector Spaces with Indefinite Metric in Quantum Field Theory. Akademiai Kiado, Budapest.Google Scholar
- Schweber, S. S. (1961).An Introduction to Relativistic Quantum Field Theory. Row, Peterson and Co., Evanston Ill., Elmsford, New York.Google Scholar
- Alebastrov, V. A. and Efimov, G. V. (1972). JINR, P2-6586, Dubna; (1972). Preprint ITP, Kiev, No. 110 P; (1973). JINR, P2-6865, Dubna.Google Scholar
Copyright information
© Plenum Publishing Company Limited 1974