CANONICAL STRUCTURE OF THE CPN SIGMA MODEL IN 1+2 DIMENSIONS

Date

1991-05-16

Author

Pak, Namık Kemal

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The CP(N) model with a theta-term 1 + 2 dimensions is quantized canonically. By employing a suitable parametrization we demonstrate that solitons carry theta-dependent fractional spins.

Subject Keywords

Fractional statistics, Quantization, Spin

URI

https://hdl.handle.net/11511/62392

Journal

PHYSICS LETTERS B

DOI

https://doi.org/10.1016/0370-2693(91)91628-9

Collections

Department of Physics, Article

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HAMILTONIAN QUANTIZATION OF THE CP1 SIGMA MODEL IN 1+2 DIMENSIONS Pak, Namık Kemal (1992-09-01) CP1 sigma model with Hopf interaction in 1 + 2 dimensions is quantized canonically using a lifted formulation. In this formulation the Hopf invariant is still a local functional of the fields. However, the constraint structure is as simple as that of a U(1) gauge theory without any nonlinearity constraints. As a by-product, the theta-dependent fractional spin is computed in this local setting.
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Universal extra dimensions and Kaluza-Klein bound states Carone, CD; Conroy, JM; Sher, M; Turan, İsmail (American Physical Society (APS), 2004-04-01) We study the bound states of the Kaluza-Klein (KK) excitations of quarks in certain models of universal extra dimensions. Such bound states may be detected at future lepton colliders in the cross section for the pair production of KK quarks near threshold. For typical values of model parameters, we find that "KK quarkonia" have widths in the 10-100 MeV range, and production cross sections of the order of a few picobarns for the lightest resonances. Two body decays of the constituent KK quarks lead to distin...

Citation Formats

N. K. Pak, “CANONICAL STRUCTURE OF THE CPN SIGMA MODEL IN 1+2 DIMENSIONS,” PHYSICS LETTERS B, pp. 377–380, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62392.