2021-09-19T10:11:02Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000008362021-03-02T08:42:53ZVortex Description of Quantum Hall FerromagnetsKimura, Taro3224421Topological solitonnoncommutative field theoryquantum Hall effectWe study particle states of quantum Hall ferromagnet from the viewpoint of the incompressible fluid description. It is shown that phase space of Chern-Simons matrix theory which is an effective theory for the incompressible fluid is equivalent to moduli space of vortex theory. According to this correspondence, elementary excitations in vortex theory are identified as particle states in quantum Hall ferromagnet, and thus we propose that a pure electron state is absent from the strong coupling region but only a composite particle state is present.journal articleWorld Scientific Publishing Company2010-02-20application/pdfInternational journal of modern physics. A, Particles and fields, gravitation, cosmology5259931008AA106690720217751Xhttps://repository.dl.itc.u-tokyo.ac.jp/record/836/files/Kimura_IJMPA25_5.pdfenginfo:doi/10.1142/S0217751X10047816http://dx.doi.org/10.1142/S0217751X10047816http://arxiv.org/abs/0906.1764v3Electronic version of an article published as International Journal of Modern Physics A : Particles and Fields, Gravitation, Cosmology, Vol. 25, Issue 5, 2010, pp. 993–1008, Article DOI: 10.1142/S0217751X10047816, © World Scientific Publishing Company, Journal URL: http://www.worldscinet.com/ijmpa/ijmpa.shtml