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Delve into the world of dipole moments of solitons and explore the complex realm of N=2 Supersymmetric SU(2) Gauge Model and the intricate concepts of spin angular momentum. From deep inelastic scattering to cosmic ray events, uncover the mysteries of electric and magnetic dipole moments and their duality.
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2011/10/27 Dipole Moment of Solitons Makoto Kobayashi KEK
Recollections of Nagoya Univ. Under graduate 1963-1967 Graduate 1967-1972 • Chiralsymmetry • Maskawa, Kondo, Hattori • Deep inelastic scattering • Iizuka, Nitto • Cosmic ray events • Nakagawa, Nitto
mag. monopole x spin e.d.m. ? elec. charge x spin mag. moment
N=2Supersymmetric SU(2) Gauge Model N=2 Supermultiplet : • BPS solution with Mass: Spin:
Spin ½ monopole Spin angular momentum: Electric dipole moment from the long distance behavior Kastnor, Na; P.R. D60(1999), 025002 Kobayashi; P.T.P. 117(2007), 479
Witten 1979 Dyon
Spin 1/2 dyon Kobayashi, Kugo, Tokunaga 2007 Progr. Theor. Phys. 118(2007), 921 Normalization of Spin Angular Momentum
Dipole Moment of Dyon • electric dipole moment • magnetic dipole moment Nomagnetic dipole moment
Duality(1) N=2 SU(2) gauge theory Effective U(1) gauge theory S-dual Electric Magnetic
Duality(2) Dyon in dual variables • Coulomb part • Dipole part
Summary • Dyon in the original discription Magnetic moment Electric moment • Dyon looks like ‘electron’ in the dual discription Magnetic moment Electric moment EDM of ‘electron is calculated non-perturbatively.