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@article{49461, author = {Krivoruchenko, Mikhail I. and Tursunov, Arman}, article_number = {1}, doi = {http://dx.doi.org/10.3390/sym12010035}, keywords = {non-local field theories; Noether's theorem; internal symmetry; energy-momentum; angular-momentum; Poincare group; charged scalar field; broken symmetries; CPT violation}, language = {eng}, issn = {2073-8994}, journal = {Symmetry}, title = {Noether's Theorem in Non-Local Field Theories}, url = {https://www.mdpi.com/2073-8994/12/1/35}, volume = {12}, year = {2020} }
TY - JOUR ID - 49461 AU - Krivoruchenko, Mikhail I. - Tursunov, Arman PY - 2020 TI - Noether's Theorem in Non-Local Field Theories JF - Symmetry VL - 12 IS - 1 SP - "35-1"-"35-13" EP - "35-1"-"35-13" SN - 20738994 KW - non-local field theories KW - Noether's theorem KW - internal symmetry KW - energy-momentum KW - angular-momentum KW - Poincare group KW - charged scalar field KW - broken symmetries KW - CPT violation UR - https://www.mdpi.com/2073-8994/12/1/35 N2 - 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 Poincare 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. ER -
KRIVORUCHENKO, Mikhail I. and Arman TURSUNOV. Noether's Theorem in Non-Local Field Theories. \textit{Symmetry}. 2020, vol.~12, No~1, p.~''35-1''-''35-13'', 13 pp. ISSN~2073-8994. Available from: https://dx.doi.org/10.3390/sym12010035.
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