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Article

Noether’s Theorem in Non-Local Field Theories

1
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
2
Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117218 Moscow, Russia
3
Department of Nano-, Bio-, Information and Cognitive Technologies, Moscow Institute of Physics and Technology, Institutskii per., 141700 Dolgoprudny, Moscow Region, Russia
4
Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo nám.13, CZ-74601 Opava, Czech Republic
5
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(1), 35; https://doi.org/10.3390/sym12010035
Received: 22 October 2019 / Revised: 16 December 2019 / Accepted: 17 December 2019 / Published: 23 December 2019
Explicit expressions are constructed for a locally conserved vector current associated with a continuous internal symmetry and for energy-momentum and angular-momentum density tensors associated with the Poincaré group in field theories with higher-order derivatives and in non-local field theories. We consider an example of non-local charged scalar field equations with broken C (charge conjugation) and CPT (charge conjugation, parity, and time reversal) symmetries. For this case, we find simple analytical expressions for the conserved currents. View Full-Text
Keywords: non-local field theories; Noether’s theorem; internal symmetry; energy-momentum; angular-momentum; Poincaré group; charged scalar field; broken symmetries; CPT violation non-local field theories; Noether’s theorem; internal symmetry; energy-momentum; angular-momentum; Poincaré group; charged scalar field; broken symmetries; CPT violation
MDPI and ACS Style

Krivoruchenko, M.I.; Tursunov, A. Noether’s Theorem in Non-Local Field Theories. Symmetry 2020, 12, 35. https://doi.org/10.3390/sym12010035

AMA Style

Krivoruchenko MI, Tursunov A. Noether’s Theorem in Non-Local Field Theories. Symmetry. 2020; 12(1):35. https://doi.org/10.3390/sym12010035

Chicago/Turabian Style

Krivoruchenko, Mikhail I., and Arman Tursunov. 2020. "Noether’s Theorem in Non-Local Field Theories" Symmetry 12, no. 1: 35. https://doi.org/10.3390/sym12010035

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