TY - JOUR
T1 - Moduli space dynamics of vortices in a first-order system
AU - Bak, Dongsu
AU - Lee, Hyuk Jae
PY - 1998/7/23
Y1 - 1998/7/23
N2 - The moduli space dynamics of vortices in the Jackiw-Pi model where a non-relativistic Schrödinger field couples minimally to Chern-Simons gauge field, is considered. It is shown that the difficulties in direct application of Manton's method to obtain a moduli-space metric in the first order system can be circumvented by turning the Lagrangian into a second order system. We obtain exact metrics for some simple cases and describe how the vortices respond to an external U(1) field. We then construct an effective Lagrangian describing dynamics of the vortices. In addition, we clarify strong-weak coupling duality between fundamental particles and vortices.
AB - The moduli space dynamics of vortices in the Jackiw-Pi model where a non-relativistic Schrödinger field couples minimally to Chern-Simons gauge field, is considered. It is shown that the difficulties in direct application of Manton's method to obtain a moduli-space metric in the first order system can be circumvented by turning the Lagrangian into a second order system. We obtain exact metrics for some simple cases and describe how the vortices respond to an external U(1) field. We then construct an effective Lagrangian describing dynamics of the vortices. In addition, we clarify strong-weak coupling duality between fundamental particles and vortices.
UR - http://www.scopus.com/inward/record.url?scp=0004283621&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(98)00600-5
DO - 10.1016/S0370-2693(98)00600-5
M3 - Article
AN - SCOPUS:0004283621
SN - 0370-2693
VL - 432
SP - 175
EP - 181
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -