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Noncommutative magnetic moment of charged particles

Noncommutative magnetic moment of charged particles. T. Adorno, D. Gitman, A.Shabad & D. Vassilevich. 15-th Lomonosov Conference on Elementary Particle Physics Moscow State University, August 18 - 24, 2011. Noncommutative U*(1) theory – as a classical nonlinear electrodynamics.

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Noncommutative magnetic moment of charged particles

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  1. Noncommutative magnetic moment of charged particles T. Adorno, D. Gitman, A.Shabad & D. Vassilevich 15-th Lomonosov Conference on Elementary Particle Physics Moscow State University, August 18 - 24, 2011

  2. Noncommutative U*(1) theory – as a classical nonlinear electrodynamics

  3. Noncommutative U*(1) theory – as a classical nonlinear electrodynamics In it:

  4. Noncommutative U*(1) theory – as classical nonlinear electrodynamics In it: • A static electric charge of finite size is a magnetic dipole

  5. Noncommutative U*(1) theory – as a classical nonlinear electrodynamics In it: • A staticelectric charge of finite size is a magnetic dipole every charged elementary particle should have a magnetic moment of noncommutative origin

  6. Noncommutative U*(1) theory – as a classical nonlinear electrodynamics In it: • A staticelectric charge of finite size is a magnetic dipole every charged elementary particle should have a magnetic moment of noncommutative origin •• If, besides, the charge is placed in a constant external magnetic field, its electrostatic field is modified

  7. Noncommutative U*(1) theory – as a classical nonlinear electrodynamics In it: • A staticelectric charge of finite size is a magnetic dipole every charged elementary particle should have a magnetic moment of noncommutative origin •• If, besides, the charge is placed in a constant external magnetic field, its electrostatic field is modified to include: i) long-range enhancement of the Coulomb field ii) an electric quadrupole

  8. May be positive unprecedented enhancement of long-range potential

  9. quadrupole Next-to-leading long-distance behaviour

  10. Magnetic solution outside the charge

  11. Magnetic solution outside the charge Long-distance leading term

  12. Magnetic solution outside the charge Long-distance leading term

  13. Thanks

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