Bäcklund transformation for nonrelativistic Chern-Simons vortices.
نویسندگان
چکیده
A Bäcklund transformation yielding the static non-relativistic Chern-Simons vortices of Jackiw and Pi is presented. (20/2/1996) Submitted to the Phy. Rev. D PACS numbers: 0365.GE, 11.10.Lm, 11.15.-q
منابع مشابه
More on scattering of Chern-Simons vortices.
I derive a general formalism for finding kinetic terms of the effective Lagrangian for slowly moving Chern-Simons vortices. Deformations of fields linear in velocities are taken into account. From the equations they must satisfy I extract the kinetic term in the limit of coincident vortices. For vortices passing one over the other there is locally the right-angle scattering. The method is based...
متن کاملQuantum Chern–Simons vortices on a sphere
The quantisation of the reduced first-order dynamics of the nonrelativistic model for Chern– Simons vortices introduced by Manton is studied on a sphere of given radius. We perform geometric quantisation on the moduli space of static solutions, using a Kähler polarisation, to construct the quantum Hilbert space. Its dimension is related to the volume of the moduli space in the usual classical l...
متن کاملSelf-dual vortices in the generalized Abelian Higgs model with independent Chern-Simons interaction.
Self-dual vortex solutions are studied in detail in the generalized abelian Higgs model with independent Chern-Simons interaction. For special choices of couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a Chern-Simons-Higgs model with two scalar fields, or other new models. We investigate the properties of the static solutions and perform detailed numerical analyses. For t...
متن کاملGalilean noncommutative gauge theory: symmetries & vortices
Noncommutative Chern-Simons gauge theory coupled to nonrelativistic scalars or spinors is shown to admit the “exotic” two-parameter-centrally extended Galilean symmetry, realized in a unique way consistent with the Seiberg-Witten map. Nontopological spinor vortices and topological external-field vortices are constructed by reducing the problem to previously solved self-dual equations.
متن کاملThe Field Theory of Generalized Ferromagnet on the Hermitian Symmetric Spaces 1
We discuss the recent developments in the generalized continuous Heisenberg ferromagnet model formulated as a nonrelativistic field theory defined on the target space of the coadjoint orbits. Hermitian symmetric spaces are special because they provide completely integrable field theories in 1+1 dimension and self-dual Chern-Simons solitons and vortices in 2+1 dimension. Recently, an action prin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. D, Particles and fields
دوره 54 6 شماره
صفحات -
تاریخ انتشار 1996