Russian Federal Nuclear Center All-Russian Research Institute of Experimental Physics The Isotopic Foldy-Wouthuysen Representation and Chiral Symmetry.

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Presentation transcript:

Russian Federal Nuclear Center All-Russian Research Institute of Experimental Physics The Isotopic Foldy-Wouthuysen Representation and Chiral Symmetry. The Standard Model in the Isotopic Foldy- Wouthuysen Representation without Higgs Bosons in the Fermion Sector. V.P.Neznamov

Publications  V.P.Neznamov. Voprosy Atomnoi Nauki I Tekhniki. Ser.: Theoretical and Applied Physics, issue 2, 21 (1988) (in Russian).  V.P. Neznamov. Physics of Particles and Nuclei 37 (1), 86; Pleadas Publishing, Inc. (2006) (in Russian: Physics of Particles and Nuclei 37 (1), 152 (2006)).  V.P.Neznamov, A.J.Silenko. J. Math. Phys. 50, (2009).  V.P. Neznamov. arxiv:  hep-th .  V.P.Neznamov. Voprosy Atomnoi Nauki I Tekhniki. Ser.: Theoretical and Applied Physics, issue 1-2, 3 (2010) (in Russian);arxiv:  hep-th .  V.P.Neznamov. Physics of Particles and Nuclei (2012) (in press) (in Russian), arxiv: (physics. gen-ph).  V.P.Neznamov. Physics of Particles and Nuclei (2012) (in press) (in Russian), arxiv: (physics. gen-ph). 2

3Content

4 1. Basic features of the Foldy-Wouthuysen representation

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9 2. Isotopic Foldy-Wouthuysen representation and chirally symmetric equations of motion of massive fermion fields

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Chirally symmetric equations for massive fermions in the Dirac representation

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Isotopic Foldy-Wouthuysen representation for massive fermions

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Chiral invariance in the Foldy-Wouthuysen representation

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Physical content of chirally symmetric equations and their Hamiltonians in the isotopic Foldy-Wouthuysen representation ℋ

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25 Fig 2. Fig 3. ℋ ℋ

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27 3. Continuity equation. Conservation of vector and axial current of massive fermions in the isotopic Foldy- Wouthuysen representation (40)

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29 4. Possibility of spontaneous breaking of parity in the isotopic Foldy-Wouthuysen representation

30 5. The Standard model in the isotopic Foldy-Wouthuysen representation

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Thank you for attention 42