Moduli space dynamics of vortices in a first-order system

Dongsu Bak; Hyuk Jae Lee

doi:10.1016/S0370-2693(98)00600-5

Moduli space dynamics of vortices in a first-order system

Dongsu Bak
, Hyuk Jae Lee

Department of Physics

Yonsei University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	175-181
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	432
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(98)00600-5
State	Published - 23 Jul 1998

Access to Document

10.1016/S0370-2693(98)00600-5

Cite this

@article{96e94dc98ad445608e921fe63841df96,

title = "Moduli space dynamics of vortices in a first-order system",

abstract = "The moduli space dynamics of vortices in the Jackiw-Pi model where a non-relativistic Schr{\"o}dinger 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.",

author = "Dongsu Bak and Lee, \{Hyuk Jae\}",

year = "1998",

month = jul,

day = "23",

doi = "10.1016/S0370-2693(98)00600-5",

language = "English",

volume = "432",

pages = "175--181",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "1-2",

}

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 - https://www.scopus.com/pages/publications/0004283621

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 -

Moduli space dynamics of vortices in a first-order system

Abstract

Access to Document

Other files and links

Fingerprint

Cite this