Noncommutative magnetic moment of charged particles

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

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

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

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

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

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

8. 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

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

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

43. Magnetic solution outside the charge

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

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

50. Thanks