ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Дифференциальные Уравнения
и
Процессы Управления

Beyond Faddeev's Interpretation of the Weiberg-salam Interaction Model

Автор(ы):

Zoran Majkic

International Society for Research in Science and Technology

majk.1234@yahoo.com

Аннотация:

We provide a mathematical completion of L.Faddeev's hypothesis of the Higgs mechanism without using the Higgs field (Higgs bosons) by using the IQM theory of individual particles. So, we demonstrate mathematically, basing on the IQM gauge theory, that during each interaction of a given massive particle with the bosons (during which this particle changes its energy, momentum and speed), the Goldstone "Mexican hat" potential obtained from particle's Lagrangian density, appears without necessity to introduce the Higgs bosons.

Ключевые слова

Ссылки:

  1. Majkic Z., Partial Differential Equations for Wave Packets in the Minkowski 4-dimensional Spaces, Differencialnie uravnenia i protsesy upravlenia, no. 1(2011), http://www.math.spbu.ru/diffjournal/pdf/madjkic.pdf , 2011
  2. Majkic Z., Completion and Unification of Quantum Mechanics with Einstein's GR Ideas, Part I: Completion of QM, Nova Science Publishers, New York, ISBN:978-1-53611-946-6, July, 2017
  3. Majkic Z., Completion and Unification of Quantum Mechanics with Einstein's GR Ideas, Part II: Unification with GR, Nova Science Publishers, New York, ISBN:978-1-53611-947-3, September, 2017
  4. Majkic Z., Completion and Unification of Quantum Mechanics with Einstein's GR Ideas, Part III: Advances, Revisions and Conclusions, Nova Science Publishers, New York, ISBN:978-1-53617-200-3, November, 2019
  5. Majkic Z., Double-slit Experiment: a Test for Individual Particles Completion of Quantum Mechanics, Differencialnie uravnenia i protsesy upravlenia, no. 2(2019), http://www.math.spbu.ru/diffjournal/pdf/madjkic.pdf
  6. Majkic Z., Hydrodynamic equilibrium and stability for particle's energy-density wave-packets: \textsc{S}tate and revision, Differencialnie uravnenia i protsesy upravlenia, no. 3(2018), http://www.math.spbu.ru/diffjournal/pdf/madjkic.pdf
  7. Majkic Z., Schrodinger Equation and Wave Packets for Elementary Particles in the Minkowski Spaces, Differencialnie uravnenia i protsesy upravlenia, no. 3(2011), http://www.math.spbu.ru/diffjournal/pdf/madjkic2.pdf
  8. Majkic Z., Differential Equations for Elementary Particles: Beyond Duality, LAP LAMBERT Academic Publishing, Saarbrucken, Germany, 2013
  9. Chernodub M. N. and Faddeev L, and Niemi A. J., Non-Abelian supercurrents and de sitter ground state in electroweak theory, arXiv:0804. 1544v2 [hep-th], 2008
  10. Majkic Z., Derivation of Electromagnetism from Quantum Theory of Photons: Tesla Scalar Waves, Differential Equations and Control Processes, N. 3, 2020, 20304-jdecp-zoran. pdf (spbu. ru)
  11. Faddeev L., An alternative interpretation of the Weiberg-Salam model, arXiv:0811. 3311v2 [hep-th], 2008
  12. Yang C. N. and Mills R., Conservation of Isotopic Spin and Isotopic Gauge Invariance, Physical Review 96 (1), pp. 191-195, 1954
  13. Yukawa H., On the interaction of elementary particles, Proc. Phys. -Math. Soc., 17, pp. 48-57, 1935
  14. Proca A., Sur la theorie ondulatorie des electrons positifs et negatifs, J. Phys. Radium 7, 347 (1936); Sur la theorie du position, C. R. Acad. Sci. Paris 202, 1366, 1936
  15. Goldstone J., Field theories with superconductor solutions, Nuovo Cimento19, pp. 154-164, 1961
  16. Englert F., Broken symmetry and Yang-Mills theory, arXiv:hepth/0406162v2, Contribution to ’Fifty years of Yang Mills theory’, editor G. ’t Hooft, World Scientific, 2004
  17. Goldstone J. and Salam A. and Weinberg S., Broken symmetries, Phys. Rev., 127, pp. 965-970, 1962
  18. Majki´ c Z., Mathematical IQM Gauge Theory for Interaction Processes, Differential Equations and Control Processes, N. 1, 2022, 22106-jdecp-majkic. pdf (spbu. ru)
  19. Masson T. and Wallet J. C., A remark on the spontaneous symmetry breaking mechanism in the standard model, arXiv:1001. 1176v1 [hep-th], 2010
  20. Ilderton A. and Lavelle M. and McMullan D., Symmetry breaking, conformal geometry and gauge invariance, Journal of Physics A: Mathematical and Theoretical, 43(31):312002, 2010
  21. Struyve W., Gauge invariant accounts of the Higgs mechanism, Studies in History and Philosophy of Science, Part B 42(4), pp. 226-236, 2011
  22. Fairbairn M. and Hogan R., Elecrtoweak vacuum stability in light of BICEP-2, Phys. Rev. Lett. 112, and arXiv:hep-ph/1403. 6786v3, 2014
  23. Zloshchastiev K. G., Spontaneous symmetry breaking and mass generation as built-in phenomena in logaritmic nonlinear quantum theory, arXiv:hepph/0912. 4139v5, 2011
  24. Csaki C. and Graesser M. L. and Kribs G. D., Radion dynamics and electroweak physics, Physical Review D, 63, 6, 2001
  25. Pawlowski M. and Raczka R., A unified conformal model for fundamental interactions without dynamical Higgs field, arXiv:hep-th/9407137v1, 1994
  26. Csaki C. and Grojean C. and Pilo L, and Terning J., Towards a realistic model of Higgsless elektroweak symmetry breaking, Phys. Rev. Letters, 92, 10, 2004
  27. Barbieri R. and Pomarol A. and Rattazzi R., Weakly coupled Higgsless theories and precision electroweak tests, arXiv:hep-ph/0310285, 2003
  28. Davoudiasl H. and Hewett J. L. and Lillie B. and Rizzo T. G., Warped Higgsles models with IR-brane kinetic terms, arXiv:hep-ph/0403300, 2004
  29. Csaki C. and Grojean C. and Murayama H. and Pilo L. and Terning J., Gauge theories on an interval: unitarity without a Higgs boson, Physical Review D, 69, 5, 2004
  30. Bilson-Thompson S. and Markopoulou F. and Smolin L., Quantum gravity and the standard model, arXiv:hep-th/0603022v2, 2007
  31. Grzadkowski B. and Gunion J. F. and Toharia M., Higgs-radion interpretation of the LHC data?, arXiv:hep-ph/1202. 5017v2, 2012
  32. Bellazzini B. and Csaki C. and Serra J., Composite Higgses, arXiv:hepph/1401. 2457, 2014
  33. Rizzo T. G., Introduction to extra dimensions, arXiv:hep-ph/1003. 1698, 2010
  34. Crane L. Physicists have a massive problem as Higgs boson refuses to misbehave, NewScientist, Physics, 7 August 2020, https://www.newscientist.com/article/2251285-physicists-have-a-massiveproblem-as-higgs-boson-refuses-to-misbehave/

Полный текст (pdf)