The Propagator and Path Integral Quantization for the New Dirac Equation

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Date received : 7 October 2024

References

A positive-energy relativistic wave equation. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. Vol. 322(1551):435–445. 1971. The Royal Society. [Cross Ref]
A positive-energy relativistic wave equation. II. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. Vol. 328(1572):1–7. 1972. The Royal Society. [Cross Ref]
Dirac P. A. M.. Pretty mathematics. International Journal of Theoretical Physics. Vol. 21(8-9):603–605. 1982. Springer Science and Business Media LLC. [Cross Ref]
Bogomolny Eugene. Positive-Energy Dirac Particles and Dark Matter. Universe. Vol. 10(5)2024. MDPI AG. [Cross Ref]
Klishevich S.M., Plyushchay M.S., Rausch de Traubenberg M.. Fractional helicity, Lorentz symmetry breaking, compactification and anyons. Nuclear Physics B. Vol. 616(3):419–436. 2001. Elsevier BV. [Cross Ref]
Biedenharn L. C., Han M. Y., van Dam H.. Generalization and Interpretation of Dirac's Positive-Energy Relativistic Wave Equation. Physical Review D. Vol. 8(6):1735–1746. 1973. American Physical Society (APS). [Cross Ref]
Manga A. Ousmane, Samsonenko N. V., Moussa A.. Lagrangian formalism for the new Dirac equation. Advanced Studies in Theoretical Physics. Vol. 7:141–150. 2013. Hikari, Ltd. [Cross Ref]
Adamou Ousmane Manga, Aboubacar Moussa, Almoustapha Aboubacar, Vladimirovich Samsonenko Nicolai. Two-component form of the new Dirac equation. Advanced Studies in Theoretical Physics. Vol. 7:319–324. 2013. Hikari, Ltd. [Cross Ref]
Cirilo-Lombardo Diego J., Sanchez Norma G.. Quantum-Spacetime Symmetries: A Principle of Minimum Group Representation. Universe. Vol. 10(1)2024. MDPI AG. [Cross Ref]
CIRILO-LOMBARDO Diego J, SANCHEZ Norma G.. Entanglement and Generalized Berry Geometrical Phases in Quantum Gravity. MDPI AG. [Cross Ref]
Shapiro Ilya L.. Covariant Derivative of Fermions and All That. Universe. Vol. 8(11)2022. MDPI AG. [Cross Ref]

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[1] A positive-energy relativistic wave equation. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. Vol. 322(1551):435–445. 1971. The Royal Society. [Cross Ref]

[2] A positive-energy relativistic wave equation. II. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. Vol. 328(1572):1–7. 1972. The Royal Society. [Cross Ref]

[3] Dirac P. A. M.. Pretty mathematics. International Journal of Theoretical Physics. Vol. 21(8-9):603–605. 1982. Springer Science and Business Media LLC. [Cross Ref]

[4] Bogomolny Eugene. Positive-Energy Dirac Particles and Dark Matter. Universe. Vol. 10(5)2024. MDPI AG. [Cross Ref]

[5] Klishevich S.M., Plyushchay M.S., Rausch de Traubenberg M.. Fractional helicity, Lorentz symmetry breaking, compactification and anyons. Nuclear Physics B. Vol. 616(3):419–436. 2001. Elsevier BV. [Cross Ref]

[6] Biedenharn L. C., Han M. Y., van Dam H.. Generalization and Interpretation of Dirac's Positive-Energy Relativistic Wave Equation. Physical Review D. Vol. 8(6):1735–1746. 1973. American Physical Society (APS). [Cross Ref]

[7] Manga A. Ousmane, Samsonenko N. V., Moussa A.. Lagrangian formalism for the new Dirac equation. Advanced Studies in Theoretical Physics. Vol. 7:141–150. 2013. Hikari, Ltd. [Cross Ref]

[8] Adamou Ousmane Manga, Aboubacar Moussa, Almoustapha Aboubacar, Vladimirovich Samsonenko Nicolai. Two-component form of the new Dirac equation. Advanced Studies in Theoretical Physics. Vol. 7:319–324. 2013. Hikari, Ltd. [Cross Ref]

[9] Cirilo-Lombardo Diego J., Sanchez Norma G.. Quantum-Spacetime Symmetries: A Principle of Minimum Group Representation. Universe. Vol. 10(1)2024. MDPI AG. [Cross Ref]

[10] CIRILO-LOMBARDO Diego J, SANCHEZ Norma G.. Entanglement and Generalized Berry Geometrical Phases in Quantum Gravity. MDPI AG. [Cross Ref]

[11] Shapiro Ilya L.. Covariant Derivative of Fermions and All That. Universe. Vol. 8(11)2022. MDPI AG. [Cross Ref]

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The Propagator and Path Integral Quantization for the New Dirac Equation

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