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Variation of Constants and Violation of Symmetries, Cairns , 2010

Variation of Constants and Violation of Symmetries, Cairns , 2010. Radiative corrections and parity nonconservation in atoms UNSW, Sydney, Australia Michael Kuchiev. Cairns, 24-25 July, 2010. Radiative corrections. Roughly speaking: Vacuum polarization

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Variation of Constants and Violation of Symmetries, Cairns , 2010

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  1. Variation of Constants and Violation of Symmetries, Cairns, 2010

  2. Radiative corrections and parity nonconservation in atomsUNSW, Sydney, AustraliaMichael Kuchiev Cairns, 24-25 July, 2010

  3. Radiative corrections Roughly speaking: Vacuum polarization Fermion self-interaction, self-energy and vertex correction

  4. 1. Vacuum polarization e 1930

  5. Uehling-Serber potential (1935) Hesenberg-Euler problem (1935)

  6. Kuchiev, Flambaum (2002)

  7. Parameters that govern wave function at small distances

  8. Derivation (MK 2001)

  9. Vacuum polarization correction to PNC Johnson, Bednyakov, Soff (2001) Sushkov (2001) Kuchiev, Flambaum (2002)

  10. Vacuum polarizationcorrection in Cs Sushkov, Milstein (2001) Kuchiev, Flambaum (2002)

  11. 2001-2002: what we gonna do with Standard Model? ? Oleg Sushkov Alexander Milstein Michael Kozlov Walter Johnson Victor Flambaum

  12. 2.Electron self-interaction for Lamb shift

  13. Self-interaction correction to PNC

  14. 2.Analytical result Kuchiev (2002) Milstein, Sushkov, Terekhov (2002)

  15. The thin dotted line, thick dotted line, and solid line: self-energy corrections to the PNC amplitude

  16. Convergence of analytical results on self-energy correction Kuchiev (2002) Kuchiev, Flambaum (2002,2003) Milstein, Sushkov, Terekhov (2002)

  17. Estimate for PNC based on available data for Finite Nuclear Size (FNS) The correction to the PNC amplitude is equal to the average of the corrections to the FNS energy shifts for S1/2 and P1/2 levels. Kuchiev, Flambaum (2002) Corrections to nuclear finite size: W.R.Johnson and G.Soff, At. Data Nuc. Data Tables 33, 405 (1985). S.A.Blundell, Phys. Rev. A 46, 3762 (1992). K.T.Cheng, W.R.Johnson and J.Sapirstein, Phys. Rev A 47, 1817 (1993). [I.Lindgren, H.Persson, S.Salomonson, and A.Ynnerman, Phys. Rev. A 47, 4555 (1993).

  18. Corrections to the PNC amplitude The thin dotted line analitical result , thick dotted line (from comparison with FNS, solid line is an interpolation.

  19. Kuchiev, Flambaum (2003)

  20. Further reading • VA Dzuba, VV Flambaum, JSM Ginges - Physical Review D, 2002 – APS • VV Flambaum, JSM Ginges - Physical Review A, 2005 – APS • A Derevianko, SG Porsev - The European Physical Journal A-Hadrons, 2007 • SG Porsev, K Beloy, A Derevianko - Arxiv preprint arXiv:1006.4193, 2010 • VM Shabaev Physics-Uspekhi 51 1175 2008 • AV Maiorova, OI Pavlova, VM Shabaev, Journal of Physics B, 2009

  21. Conclusions • Radiative corrections to PNC in heavy atoms are large, of the order of 1%. • Similarly are large radiative corrections related to any phenomenon which manyfests itslef at small, nuclear scale, distances • Lesson: before daring to amend a major theory do your calculations right.

  22. Thanks: • To numerous colleagues (some of them pictured) for stimulating discussions and atmosphere • Internet community, which mostly tolerates my little follies • ARC for support • Generous organisers and patient listeners of the workshop

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